Mary Schmich Quote

Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

The Best of Mary Schmich (ed. Agate Digital, 2012) - ISBN: 9781572844124

Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real ...

Quote of the day

Mary schmich.

Mary Schmich

Featured Authors

Ludwig van Beethoven

Predictions that didn't happen

If it's on the Internet it must be true

If it's on the Internet it must be true

Remarkable Last Words (or Near-Last Words)

Remarkable Last Words (or Near-Last Words)

Picture quotes.

If you see what is right and fail to act on it, you lack courage.

Philip James Bailey

Life was meant to be lived, and curiosity must be kept alive.

Eleanor Roosevelt

A great change in life is like a cold bath in winter — we all hesitate at the first plunge.

Letitia Elizabeth Landon

Popular topics.

worrying is like trying to solve an algebra problem by chewing gum

Quote Investigator®

Tracing Quotations

Do One Thing Every Day That Scares You

Mary Schmich? Eleanor Roosevelt? Kurt Vonnegut? Baz Luhrmann? Ralph Waldo Emerson? Jane Addams? Mark Toby?

Dear Quote Investigator: To achieve personal growth it is sometimes necessary to move outside of a comfort zone. Unjustified fears can constrain exploration and positive development. Here is a saying I find valuable:

Do one thing every day that scares you.

The above advice is typically attributed to Eleanor Roosevelt who was First Lady for many years and a noted social activist. But I have been unable to find any justification for this ascription. What do you think?

Quote Investigator: An exact match for this quotation appeared within a June 1997 essay by Mary Schmich, a columnist for the Chicago Tribune. She began her article with the statement: “Inside every adult lurks a graduation speaker dying to get out”, and she continued by presenting a staccato sequence of items of advice aimed at young students. Boldface has been added to excerpts below: [1] 1997 June 1, Chicago Tribune, “Advice, Like Youth, Probably Just Wasted on the Young” by Mary Schmich, Page 4C, Chicago, Illinois. (ProQuest)

Don’t worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday. Do one thing every day that scares you. Sing. Don’t be reckless with other people’s hearts. Don’t put up with people who are reckless with yours. Floss. Don’t waste your time on jealousy. Sometimes you’re ahead, sometimes you’re behind. The race is long and, in the end, it’s only with yourself.

Mary Schmich’s essay went viral and became a smash hit by August 1997, but the words were not credited to her. Instead, the work was retitled “Wear Sunscreen” and was incorrectly described as a graduation speech given by the well-known author Kurt Vonnegut at the Massachusetts Institute of Technology (MIT). [2] 1997 August 13, Washington Post, Section: Editorial, “The Speech That Wasn’t”, Quote Page A20:1, Washington, D.C. (ProQuest)

In 1999 the essay was transformed into a popular spoken-word song titled “Everybody’s Free (To Wear Sunscreen)” by the prominent film director Baz Luhrmann who credited Schmich. The quotation was included in the lyrics. [3] YouTube video, Title: Baz Luhrmann – Everybody’s Free To Wear Sunscreen, Uploaded on May 24, 2007, Uploaded by: steffyweffy777, (Quotation starts at 1 minute 20 seconds of 5 minutes 4 … Continue reading [4] 1999 March 31, Chicago Tribune, “From column to song: ‘Sunscreen’ spreads to Chicago” by Mark Caro [Tribune staff writer], Online Archive of Chicago Tribune, Chicago, … Continue reading

The famous transcendentalist Ralph Waldo Emerson employed a precursor to the saying in the nineteenth century. The conception of incrementally conquering fears as a pathway to growth evolved over many decades. The following five instances of expressions are examined in greater depth further below:

Always do what you are afraid to do. (1841) —Popularized by Ralph Waldo Emerson To do what you are afraid to do is to guide your life by fear. How much better not to be afraid to do what you believe in doing! (circa 1881) —Jane Addams You must do the thing you think you cannot do. (1960) —Eleanor Roosevelt I’m supposed to do one thing every day that I want to do but I’m afraid to do. (1961) —Mark Toby Do one thing every day that scares you. (1997) —Mary Schmich

Here are selected citations in chronological order.

In 1841 the essay “Heroism” by Emerson was published, and it recommended a simple maxim to readers for overcoming trepidation. No attribution was given for the injunction: [5] 1841, Essays by R. W. Emerson (Ralph Waldo Emerson), Essay VIII: Heroism, Start Page 247, Quote Page 262, James Fraser, London. (Google Books full view) link

Be true to your own act, and congratulate yourself if you have done something strange and extravagant, and broken the monotony of a decorous age. It was a high counsel that I once heard given to a young person, “ Always do what you are afraid to do. “

Of course, some fears are justified and some actions that flout fears are foolish or self-destructive. If one is unnerved by the thought of jumping out of a tenth-floor window then the maxim incongruously suggests that the great leap would be desirable. Clearly, context must guide the application of this adage.

The reaction of the famous social reformer Jane Addams to the maxim popularized by Emerson was revealing. In modern times, the fame of Addams rests on her founding of Hull House in Chicago which helped and supported the disadvantaged. Those efforts of amelioration ultimately led to the awarding of a Nobel Peace Prize to Addams in 1931.

Years earlier, when Addams was college-age she attended “Rockford Seminary” and became the editor in chief of the “Rockford Seminary Magazine”. She graduated in 1881 and was given a degree in 1882 from “Rockford College”, the new name of the transitioning organization. During her school years she kept a notebook in which she transcribed the maxim: [6] 1935, Jane Addams: A Biography by James Weber Linn, Quote Page 62, D. Appleton-Century Company, New York and London. (Verified on paper)

In her first year Jane had set down in her notebook more legibly than any other entry the quotation, “ Always do what you are afraid to do. ” But three years later she remarks in an editorial article in the Magazine, “ To do what you are afraid to do is to guide your life by fear. How much better not to be afraid to do what you believe in doing! Keep one main idea, and you will never be lost. ‘For the end of man is an action and not a thought, were that of the noblest.'”

In 1931 “Boys’ Life” magazine further disseminated the adage that Emerson transmitted. Indeed, the statement continues to circulate today and remains popular. “Boys’ Life” provided no attribution, but the words are commonly assigned directly to Emerson in modern times: [7] 1931 June, Boys’ Life, Volume 21, Number 6, Courage and Confidence, Start Page 22, Quote Page 22, Column 2, Published by Boy Scouts of America, Inc. (Google Books full view) link

Every day you are placed in some situation that definitely tests you. It requires courage to practice patiently in spite of discouragement until you have acquired proper form in swimming, life saving, or some other activity. Almost every step of progress that you make will be in the face of difficulty and discouragement. But don’t let it beat you! Always do what you are afraid to do .

In 1960 Eleanor Roosevelt published “You Learn by Living” with a chapter titled “Fear—the Great Enemy” in which she discussed the problems she experienced due to her excessively fearful temperament: [8] 1983, You Learn by Living: Eleven Keys for a More Fulfilling Life by Eleanor Roosevelt, Quote Page 25, (Reprint of 1960 edition from Harper, New York), Westminster John Knox Press, Louisville, … Continue reading

Fear has always seemed to me to be the worst stumbling block which anyone has to face. It is the great crippler. Looking back, it strikes me that my childhood and my early youth were one long battle against fear.

As she matured Roosevelt consciously attempted to reduce her fears by successfully accomplishing tasks that caused her apprehension: [9] 1960, You Learn by Living by Eleanor Roosevelt, Quote Page 29 and 30, Harper & Brothers, New York. (Verified on paper) [10] 1983, You Learn by Living: Eleven Keys for a More Fulfilling Life by Eleanor Roosevelt, Quote Page 29 and 30, (Reprint of 1960 edition from Harper, New York), Westminster John Knox Press, Louisville, … Continue reading

You gain strength, courage, and confidence by every experience in which you really stop to look fear in the face. You are able to say to yourself, “I lived through this horror. I can take the next thing that comes along.” The danger lies in refusing to face the fear, in not daring to come to grips with it. If you fail anywhere along the line it will take away your confidence. You must make yourself succeed every time. You must do the thing you think you cannot do .

Passages such as the one above may help to explain why the quotation under investigation is often assigned to Roosevelt. Her words were thematically congruent, and the advice she offered was comparable.

In 1961 the popular novel “The Courtship of Eddie’s Father” by Mark Toby was published. This work originated a successful cross-media franchise. A romantic comedy film based on the book was released in 1963 under the same title. A television series was broadcast from 1969 to 1972, and episodes continued to be aired as reruns for many years.

The author Toby crafted a fictional self-improvement organization called “Henrietta Rockefeller’s Poise School” which offered a course in personal growth. One appealing character named Dollye Daly closely followed the eight rules specified by the course. The first rule stated “Become Outgoing” and Daly explained this guidance: [11] 1961, The Courtship of Eddie’s Father by Mark Toby, Quote Page 45 and 46, Published by Bernard Geis Associates, Distributed by Random House, New York. (Verified on paper)

“ I’m supposed to do one thing every day that I want to do but I’m afraid to do. ” She opened her handbag and poked around inside in that dedicated way common to all women–head lowered and chin thrust out. “Here. It’s part of my course,” she said, holding up a paper. “In self-development.”

This was the earliest instance in this family of sayings located by QI that included the temporal qualifier “every day”. This version was particularly interesting because it included the sensible proviso that the action should be something “I want to do”. An excerpt from the fictional course booklet was read aloud by the character Daly:

She read: “Look yourself squarely in the eye and ask: What am I afraid to do today? PUT YOUR HAT ON YOUR HEAD AND GO OUT AND DO IT! ” She smoothed her flaming hair self-consciously. “I did try it with a hat, but it didn’t make it work any better so I skip the hat part. I’m not used to wearing hats just for show, like here in New York.”

In June 1997 the Chicago Tribune columnist Mary Schmich published a column titled “Advice, Like Youth, Probably Just Wasted on the Young”. As noted previously in this article, Schmich included the following nugget of advice: [12] 1997 June 1, Chicago Tribune, “Advice, Like Youth, Probably Just Wasted on the Young” by Mary Schmich, Page 4C, Chicago, Illinois. (ProQuest)

The guidance given in Toby’s 1961 book (and the resultant movie) has not been forgotten. In 2004, “Success Express for Teens: 50 Activities That Will Change Your Life” by Roger Leslie presented the following recommended activity. The author explained that he was inspired by the remarks of the character Dollye Daly in the movie “The Courtship of Eddie’s Father”: [13] 2004, Success Express for Teens: 50 Activities That Will Change Your Life by Roger Leslie, Quote Page 95, Bayou Publishing, Houston, Texas. (Google Books Preview)

EXERCISE YOUR RISK MUSCLE Activity #26 Do something you’re afraid to do but really want to, or know you must do, to attain your goal.

In 2008 a book in a popular series for teens and tweens, “The Princess Diaries, Volume IX: Princess Mia”, included the quotation and credited the words to Eleanor Roosevelt. In the following excerpt a psychologist character named Arthur T. Knutz conversed with the main character: [14] 2008, The Princess Diaries, Volume IX: Princess Mia by Meg Cabot, Quote Page 71 and 72, HarperTeen: An imprint of HarperCollins, New York. (Google Books Preview)

“You know, Eleanor Roosevelt, a lady few would argue didn’t have a good head on her shoulders,” Dr. Knutz remarked, “once said, ‘ Do one thing every day that scares you .'” I shook my head. “That makes no sense whatsoever. Why would anybody willingly do things that scare them?” “Because it’s the only way,” Dr. Knutz said, “they’ll grow as an individual.”

In 2012 Mary Schmich writing in the Chicago Tribune commented on the widespread misattribution of her quotation to Roosevelt: [15] 2012 March 21, Chicago Tribune, “We need an antidote for bad quotes” by Mary Schmich, Page 1.12, Chicago, Illinois. (ProQuest)

I’ll admit that I’m interested in accurate quotes in part because I’ve had words mangled in the online quote factory. For example, a line from one of my 1997 columns — “ Do one thing every day that scares you ” — is now widely attributed to Eleanor Roosevelt, though I have yet to see any evidence that she ever said it and I don’t believe she did. She said some things about fear, but not that thing.

In conclusion, QI believes that Mary Schmich should be credited with the precise quotation: “Do one thing every day that scares you”. A family of thematically related sayings has a long history that can be traced back to Ralph Waldo Emerson in 1841. Before Schmich in 1997 the author Mark Toby in 1961 created a similar exhortation: “I’m supposed to do one thing every day that I want to do but I’m afraid to do.”

Update: On November 3, 2013 the 1960 citation for “You Learn by Living” was added to the 1983 citation because QI was able to gain access to the earlier 1960 edition.

(Great thanks to Dave Hill who asked about this saying, and its ascription to Eleanor Roosevelt. Hill runs the website “WIST: Wish I’d Said That!” which presents a valuable collection of quotations and citations. Special thanks to Emily who employed the maxim popularized by Emerson. Abundant thanks to my always helpful local librarians in Florida.)

  • Quote of the Day
  • Picture Quotes

Worrying is as effective as trying to solve an algebra equation by chewing bubble gum.

  • Wear Sunscreen

Worrying is as effective as trying to solve an algebra equation by chewing bubble gum. - Mary Schmich

Popular Topics

  • Inspirational
  • Motivational

Related Authors

' class=

Send Report

  • The author didn't say that
  • There is a mistake in the text of this quote
  • The quote belongs to another author
  • Other error
  • Javascript and RSS feeds
  • WordPress plugin
  • ES Version AZQuotes.ES
  • Submit Quotes
  • Privacy Policy

Login with your account

Create account, find your account.

  • Mary Schmich

Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday. - Mary Schmich

worrying is like trying to solve an algebra problem by chewing gum

Universal footer

worrying is like trying to solve an algebra problem by chewing gum

Worrying is as effective as trying to solve an algebra equation by chewing bubble gum.

worrying is like trying to solve an algebra problem by chewing gum

Want to display this quote image on your website or blog? Simply copy and paste the below code on your website/blog.

Format of this image is jpg. The width and height of image are 1200 and 630, repectively. This image is available for free to download.

Use the citation below to add this quote to your bibliography:

MLA Style Citation

"Mary Schmich Quotes." Quoteslyfe.com , 2024. Thu. 30 May. 2024. < https://www.quoteslyfe.com/quote/Worrying-is-as-effective-as-trying-to-867919 >.

Chicago Style Citation

Quoteslyfe.com , 2024. "Mary Schmich Quotes." Accessed May 30, 2024. https://www.quoteslyfe.com/quote/Worrying-is-as-effective-as-trying-to-867919 .

APA Style Citation

Mary Schmich Quotes. (n.d.). Quoteslyfe.com , Retrieved May 30, 2024, from https://www.quoteslyfe.com/quote/Worrying-is-as-effective-as-trying-to-867919 .

Quote of the day

Popular authors, popular categories, other quotes of mary schmich.

Understand that friends come and go, but with a precious few you should hold on. The older you get, the more you need the people who knew you when you were young.

Understand that friends come and go, but with a precious few you should hold on. The older you get, the more you need the people who knew you when you were young.

friends come and go

Good art is art that allows you to enter it from a variety of angles and to emerge with a variety of views.

Good art is art that allows you to enter it from a variety of angles and to emerge with a variety of views.

One thing you might want to learn before you attend the world's largest ukulele lesson is how to say ukulele.

One thing you might want to learn before you attend the world's largest ukulele lesson is how to say ukulele.

Don't waste your time on jealousy.

Don't waste your time on jealousy.

don't waste your time

Don't waste time on jealousy. Sometimes you're ahead, sometimes you're behind.

Don't waste time on jealousy. Sometimes you're ahead, sometimes you're behind.

Like many women my age, I am 28 years old.

Like many women my age, I am 28 years old.

You can map your life through your favorite movies, and no two people's maps will be the same.

You can map your life through your favorite movies, and no two people's maps will be the same.

Every day each of us wakes up, reaches into drawers and closets, pulls out a costume for the day and proceeds to dress in a style that can only be called preposterous.

Every day each of us wakes up, reaches into drawers and closets, pulls out a costume for the day and proceeds to dress in a style that can only be called preposterous.

TV happens. And once it's happened, it's gone. When it's gone, you move on, no tears, no tantrums, no videotape

TV happens. And once it's happened, it's gone. When it's gone, you move on, no tears, no tantrums, no videotape

Dance, even if you have nowhere to do it but your living room.

Dance, even if you have nowhere to do it but your living room.

ballet class

living room

inspirational

Other quotes you may like

Do not do anything local as believers. Whatever you do should be magnified to be comprehensive

Do not do anything local as believers. Whatever you do should be magnified to be comprehensive

comprehensive

joblessness

global-thinking

Everything's a risk. Not doing anything is a risk.

Everything's a risk. Not doing anything is a risk.

encouragement

you remind me of someone i knew. looked just like you but kind.

you remind me of someone i knew. looked just like you but kind.

rememberance

You have, let us say, a promising politician, a rising artist that you wish to destroy. Dagger or bomb are archaic, clumsy and unreliable - but teach him, inoculate him with chess.

You have, let us say, a promising politician, a rising artist that you wish to destroy. Dagger or bomb are archaic, clumsy and unreliable - but teach him, inoculate him with chess.

If we stay aware and acknowledge the great mystery that is this life, we will see that we have been perfectly placed, in exactly the right position… to make all the difference in the world.

If we stay aware and acknowledge the great mystery that is this life, we will see that we have been perfectly placed, in exactly the right position… to make all the difference in the world.

differences

acknowledge

without being sure of something, we can not begin to think about everything elses

without being sure of something, we can not begin to think about everything elses

The Democratic party is really just a giant day care center for squabbling little groups.

The Democratic party is really just a giant day care center for squabbling little groups.

democratic party

Ill smoke anything anybody gives me, Im not particular.

Ill smoke anything anybody gives me, Im not particular.

In a dark moment I ask, "How can anyone bring a child into this world?" And the answer rings clear, "Because there is no other world, and because the child has no other way into it."

In a dark moment I ask, "How can anyone bring a child into this world?" And the answer rings clear, "Because there is no other world, and because the child has no other way into it."

other worlds

For me, comedy literally is way more terrifying than doing drama, so it's always about stretching what I think I can do and putting myself out there in different context.

For me, comedy literally is way more terrifying than doing drama, so it's always about stretching what I think I can do and putting myself out there in different context.

Quote Description

worrying is like trying to solve an algebra problem by chewing gum

Temma Ehrenfeld

Anxious? Chewing Gum May Help

Try keeping this easy, cheap remedy for anxiety in your handbag or pocket..

Posted September 18, 2023 | Reviewed by Michelle Quirk

  • What Is Anxiety?
  • Find counselling to overcome anxiety
  • Chewing stimulates an especially helpful kind of saliva.
  • Chewing sugarless gum may help reduce cavities, bad breath, and reflux.
  • Chewing gum may help cut anxiety and increase focus.

It may sound too good to be true: One simple, science-backed remedy for anxiety is chewing gum. (And, no, I don't work for a gum company!)

Chewing gum is generally good for your health, if you stick to sugar-free products. People have been putting sugar-free wads of chewy stuff in their mouths since the earliest days of humanity. More than 5,700 years ago, in fact, we know a girl spat out a wad of gum made from birch bark, which turned up at an archaeological site in Denmark.

General Health Benefits

The secret of chewing is what scientists call "stimulated saliva." When stimulated by chewing, your mouth produces from 10 to 12 times as much saliva. In addition, that saliva contains much more of a key ingredient called bicarbonate , compared to unstimulated saliva. Bicarbonate, in turn, helps to minimize plaque, a contributor to cavities, tooth decay, gum disease, and bad breath.

That explains why, as the American Dental Association (ADA) notes, chewing sugar-free gum has been shown to cut cavities. Getting down to measurement, researchers have documented that chewing sugarless gum, usually xylitol gum, cuts levels in the mouth of the bacteria that causes most cavities.

Bicarbonate also is important in balancing stomach acid. Although saliva is generally alkaline, the bicarbonate-heavy stimulated saliva may be especially effective at easing symptoms of acid reflux.

Pregnant and breastfeeding women, groups prone to reflux, are sometimes advised to chew gum. But pay attention to your own response. Chewing gum might aggravate your reflux if you end up swallowing air or if an artificial sweetener or flavoring like peppermint affects you.

What if your mouth feels dry? That’s a common complaint among the elderly, affecting up to 40 percent . If chewing gum helps but you dislike it, there’s good news: You may get a lasting benefit from a short try. If you chew gum daily for at least two weeks, you can prompt your mouth to produce more saliva without that extra stimulation, according to a meta-analysis .

Gum chewing can moderate nausea and is even recommended to post-surgical patients .

Mental Benefits of Gum

When you chew gum, you may feel more relaxed and focused. A meta-analysis of eight randomized controlled trials, involving more than 400 adults, concluded that “chewing gum is an inexpensive, well-tolerated, safe, and effective way to relieve anxiety and stress .” You may need to chew regularly for at least two weeks to see benefits. The mechanism seems to involve altered levels of cortisol, a stress marker, though scientists don't know exactly how.

Some people chew gum to help stay awake while driving or studying late. There’s evidence that chewing increases blood flow to parts of the brain linked to learning and memory . A couple of small studies suggest that chewing gum while studying leads to better scores on academic tests, most recently one involving nursing students in Turkey. Other research has found that chewing gum during the workday increased focus, though separate other work contradicts the idea that chewing improves performance on tasks.

The research doesn't separate out the placebo effect —people know if they're chewing!—but, as placebos go, this one is inexpensive. If knowing the remedy is right in your handbag or pocket calms you, that's a good thing!

Sticking to Sugar-Free Gum

The ADA has given its seal of approval to gums sweetened by non–cavity-causing sweeteners including aspartame, sorbitol, xylitol, or mannitol. While chewing gum doesn’t replace brushing and flossing, it can be an effective stopgap measure if you’re traveling and an everyday strategy to help handle reflux, anxiety, and nausea as well.

Bottom line: If you stick to sugarless gum, this sounds like a harmless strategy to try.

A version of this post appears at Your Care Everywhere.

Temma Ehrenfeld

Temma Ehrenfeld is a New York-based science writer, and former assistant editor at Newsweek .

  • Find a Therapist
  • Find a Treatment Center
  • Find a Psychiatrist
  • Find a Support Group
  • Find Online Therapy
  • International
  • New Zealand
  • South Africa
  • Switzerland
  • Asperger's
  • Bipolar Disorder
  • Chronic Pain
  • Eating Disorders
  • Passive Aggression
  • Personality
  • Goal Setting
  • Positive Psychology
  • Stopping Smoking
  • Low Sexual Desire
  • Relationships
  • Child Development
  • Self Tests NEW
  • Therapy Center
  • Diagnosis Dictionary
  • Types of Therapy

May 2024 magazine cover

At any moment, someone’s aggravating behavior or our own bad luck can set us off on an emotional spiral that threatens to derail our entire day. Here’s how we can face our triggers with less reactivity so that we can get on with our lives.

  • Emotional Intelligence
  • Gaslighting
  • Affective Forecasting
  • Neuroscience

Stanford University

Along with Stanford news and stories, show me:

  • Student information
  • Faculty/Staff information

We want to provide announcements, events, leadership messages and resources that are relevant to you. Your selection is stored in a browser cookie which you can remove at any time using “Clear all personalization” below.

For everyone whose relationship with mathematics is distant or broken, Jo Boaler , a professor at Stanford Graduate School of Education (GSE), has ideas for repairing it. She particularly wants young people to feel comfortable with numbers from the start – to approach the subject with playfulness and curiosity, not anxiety or dread.

“Most people have only ever experienced what I call narrow mathematics – a set of procedures they need to follow, at speed,” Boaler says. “Mathematics should be flexible, conceptual, a place where we play with ideas and make connections. If we open it up and invite more creativity, more diverse thinking, we can completely transform the experience.”

Boaler, the Nomellini and Olivier Professor of Education at the GSE, is the co-founder and faculty director of Youcubed , a Stanford research center that provides resources for math learning that has reached more than 230 million students in over 140 countries. In 2013 Boaler, a former high school math teacher, produced How to Learn Math , the first massive open online course (MOOC) on mathematics education. She leads workshops and leadership summits for teachers and administrators, and her online courses have been taken by over a million users.

In her new book, Math-ish: Finding Creativity, Diversity, and Meaning in Mathematics , Boaler argues for a broad, inclusive approach to math education, offering strategies and activities for learners at any age. We spoke with her about why creativity is an important part of mathematics, the impact of representing numbers visually and physically, and how what she calls “ishing” a math problem can help students make better sense of the answer.

What do you mean by “math-ish” thinking?

It’s a way of thinking about numbers in the real world, which are usually imprecise estimates. If someone asks how old you are, how warm it is outside, how long it takes to drive to the airport – these are generally answered with what I call “ish” numbers, and that’s very different from the way we use and learn numbers in school.

In the book I share an example of a multiple-choice question from a nationwide exam where students are asked to estimate the sum of two fractions: 12/13 + 7/8. They’re given four choices for the closest answer: 1, 2, 19, or 21. Each of the fractions in the question is very close to 1, so the answer would be 2 – but the most common answer 13-year-olds gave was 19. The second most common was 21.

I’m not surprised, because when students learn fractions, they often don’t learn to think conceptually or to consider the relationship between the numerator or denominator. They learn rules about creating common denominators and adding or subtracting the numerators, without making sense of the fraction as a whole. But stepping back and judging whether a calculation is reasonable might be the most valuable mathematical skill a person can develop.

But don’t you also risk sending the message that mathematical precision isn’t important?

I’m not saying precision isn’t important. What I’m suggesting is that we ask students to estimate before they calculate, so when they come up with a precise answer, they’ll have a real sense for whether it makes sense. This also helps students learn how to move between big-picture and focused thinking, which are two different but equally important modes of reasoning.

Some people ask me, “Isn’t ‘ishing’ just estimating?” It is, but when we ask students to estimate, they often groan, thinking it’s yet another mathematical method. But when we ask them to “ish” a number, they're more willing to offer their thinking.

Ishing helps students develop a sense for numbers and shapes. It can help soften the sharp edges in mathematics, making it easier for kids to jump in and engage. It can buffer students against the dangers of perfectionism, which we know can be a damaging mindset. I think we all need a little more ish in our lives.

You also argue that mathematics should be taught in more visual ways. What do you mean by that?

For most people, mathematics is an almost entirely symbolic, numerical experience. Any visuals are usually sterile images in a textbook, showing bisecting angles, or circles divided into slices. But the way we function in life is by developing models of things in our minds. Take a stapler: Knowing what it looks like, what it feels and sounds like, how to interact with it, how it changes things – all of that contributes to our understanding of how it works.

There’s an activity we do with middle-school students where we show them an image of a 4 x 4 x 4 cm cube made up of smaller 1 cm cubes, like a Rubik’s Cube. The larger cube is dipped into a can of blue paint, and we ask the students, if they could take apart the little cubes, how many sides would be painted blue? Sometimes we give the students sugar cubes and have them physically build a larger 4 x 4 x 4 cube. This is an activity that leads into algebraic thinking.

Some years back we were interviewing students a year after they’d done that activity in our summer camp and asked what had stayed with them. One student said, “I’m in geometry class now, and I still remember that sugar cube, what it looked like and felt like.” His class had been asked to estimate the volume of their shoes, and he said he’d imagined his shoes filled with 1 cm sugar cubes in order to solve that question. He had built a mental model of a cube.

When we learn about cubes, most of us don’t get to see and manipulate them. When we learn about square roots, we don’t take squares and look at their diagonals. We just manipulate numbers.

I wonder if people consider the physical representations more appropriate for younger kids.

That’s the thing – elementary school teachers are amazing at giving kids those experiences, but it dies out in middle school, and by high school it’s all symbolic. There’s a myth that there’s a hierarchy of sophistication where you start out with visual and physical representations and then build up to the symbolic. But so much of high-level mathematical work now is visual. Here in Silicon Valley, if you look at Tesla engineers, they're drawing, they're sketching, they're building models, and nobody says that's elementary mathematics.

There’s an example in the book where you’ve asked students how they would calculate 38 x 5 in their heads, and they come up with several different ways of arriving at the same answer. The creativity is fascinating, but wouldn’t it be easier to teach students one standard method?

A depiction of various ways to calculate 38 x 5, numerically and visually.

A depiction of various ways to calculate 38 x 5, numerically and visually. | Courtesy Jo Boaler

That narrow, rigid version of mathematics where there’s only one right approach is what most students experience, and it’s a big part of why people have such math trauma. It keeps them from realizing the full range and power of mathematics. When you only have students blindly memorizing math facts, they’re not developing number sense. They don’t learn how to use numbers flexibly in different situations. It also makes students who think differently believe there’s something wrong with them.

When we open mathematics to acknowledge the different ways a concept or problem can be viewed, we also open the subject to many more students. Mathematical diversity, to me, is a concept that includes both the value of diversity in people and the diverse ways we can see and learn mathematics. When we bring those forms of diversity together, it’s powerful. If we want to value different ways of thinking and problem-solving in the world, we need to embrace mathematical diversity.

IMAGES

  1. Mary Schmich Quote: “Worrying is as effective as trying to solve an

    worrying is like trying to solve an algebra problem by chewing gum

  2. Mary Schmich Quote: “Worrying is as effective as trying to solve an

    worrying is like trying to solve an algebra problem by chewing gum

  3. Mary Schmich Quote: “Worrying is as effective as trying to solve an

    worrying is like trying to solve an algebra problem by chewing gum

  4. Mary Schmich Quote: “Worrying is as effective as trying to solve an

    worrying is like trying to solve an algebra problem by chewing gum

  5. Mary Schmich Quote: “Worrying is as effective as trying to solve an

    worrying is like trying to solve an algebra problem by chewing gum

  6. #651036 Worrying is as effective as trying to solve an algebra equation

    worrying is like trying to solve an algebra problem by chewing gum

VIDEO

  1. ASMR

  2. STOP WORRYING GOD WILL SOLVE IT JUST TRUST HIS TIMING

  3. DO NOT WORRY

  4. STOP WORRYING! GOD WILL SOLVE YOUR PROBLEMS (Christian Motivation)

  5. Random facts you didn't know #satisfying #facts #shorts #randomfacts

  6. Stimorol Guru: Levitating Guru Overview

COMMENTS

  1. Quote by Mary Schmich: "Don't worry about the future. Or worry, but kno..."

    "Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday." ― Mary Schmich

  2. Mary Schmich quote: Don't worry about the future. Or worry, but know

    Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

  3. Don't worry about the future. Or worry, but know that

    Mary Schmich Quote. Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

  4. TOP 25 QUOTES BY MARY SCHMICH (of 55)

    Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

  5. Baz Luhrmann-- Everybody's Free (To Wear Sunscreen)

    Don't worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. The real troubles in your life are apt to be things that never crossed your worried mind; the kind that blindside you at 4:00 pm on some idle Tuesday. Do one thing everyday that scares you. Sing.

  6. Do One Thing Every Day That Scares You

    Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

  7. Don't worry about the future; or worry, but know that worrying is as

    Quote by Baz Luhrmann: Don't worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. The real troubles in your life are apt to be things that never crossed your worried mind; the kind that blindside you at 4pm on some idle Tuesday.

  8. Mary Schmich quote: Worrying is as effective as trying to solve an

    Worrying is as effective as trying to solve an algebra equation by... - Mary Schmich quotes at AZquotes.com . Login Sign Up. Authors; ... Worrying is as effective as trying to solve an algebra equation by chewing bubble gum. Mary Schmich. Favorite. Mary Schmich (2012). "The Best of Mary Schmich: Selected Writings by the Chicago Tribune's ...

  9. Don't worry about the future. Or worry, but know that worrying is as

    Mary Schmich "Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday."

  10. Everybody's Free (To Wear Sunscreen)

    Don't worry about the future Or worry, but know that worrying Is as effective as trying to solve an algebra equation by chewing Bubble gum The real troubles in your life Are apt to be things that never crossed your worried mind The kind that blindsides you at 4 p.m. on some idle Tuesday Do one thing every day that scares you

  11. "Worry, but know that worrying is as effective as trying to solve an

    "Everything will be okay at the end. If it's not okay, it's not the end." "If the road is easy, you're likely going the wrong way." "Things happen for a reason."

  12. Worrying is as effective as trying to solve an algebra equation by

    Quote by Mary Schmich: "Worrying is as effective as trying to solve an algebra equation by chewing bubble gum...." at www.quoteslyfe.com. This quote is about chewing, trying, algebra, gum, solve, bubble gum, worry,. Download or share this Mary Schmich quote with your friends on facebook, linkedin, whatsapp, twitter, and on other social media.

  13. I once heard a quote that said "Worrying about the future is like

    …n the future that either isn't a problem or is a problem that can't be solved by you at the moment. In other words, worry is unproductive thinking about the future.

  14. Anxious? Chewing Gum May Help

    Chewing stimulates an especially helpful kind of saliva. Chewing sugarless gum may help reduce cavities, bad breath, and reflux. Chewing gum may help cut anxiety and increase focus. It may sound ...

  15. Everybody's Free (To Wear Sunscreen)

    Don't be reckless with other people's hearts; don't put up with people who are reckless with yours. Floss. Don't waste your time on jealousy; sometimes you're ahead, sometimes you're behind. The ...

  16. Don't worry about the future; or worry, but know that worrying ...

    Don't worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. ... Cafe of Fools is a community full of strange weir- I mean it's a nice community full of genuine people who like to joke around and have fun. We're pretty welcoming so don't be shy and stop by

  17. italki

    "worrying is as effective as trying to solve an algebra equation by chewing bubble gum....." Hi, here are some quotes from song "wear sunscreen". and I have a question about it.. 1) "Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum."

  18. What is the analogy of this sentence? 1. Worrying is as effective as

    Here, this analogy serves to illustrate that worrying doesn't solve problems in the same way bubble gum cannot solve an algebra equation. This kind of figurative language enhances descriptive writing and can be seen in the provided example 'Learning a foreign language is like learning to ride a bicycle: you must learn to perform multiple tasks ...

  19. Algebraic Reasoning Research Brief

    Fig. 1. The Chewing Gum problem (adapted from Smith, 2004) Tom and his younger brother, Freddy, went to the candy store one day to buy some chewing gum. Tom bought 18 ten-piece packages of gum and Freddy bought 24 five-piece packages. Every day, each boy finishes one whole package of gum. One day, they looked at how much gum each boy had left.

  20. Worrying is as effective as chewing bubble gum to solve an algebra

    28M subscribers in the Showerthoughts community. A subreddit for sharing those miniature epiphanies you have that highlight the oddities within the…

  21. Baz Luhrmann

    Don't worry about the future; or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubblegum. The real troubles in your life are apt to be things that never crossed your worried mind. The kind that blindside you at 4pm on some idle Tuesday. Do one thing everyday that scares you. Sing.

  22. The case for 'math-ish' thinking

    The case for 'math-ish' thinking. In a new book, Jo Boaler argues for a more flexible, creative approach to math. "Stepping back and judging whether a calculation is reasonable might be the ...