Happy Pi Day. Pi Day was, “named after the mathematical constant that is the ratio of a Euclidean circle’s circumference to its diameter (Pi Day: 3.14 ways you can celebrate).” In honor of Pi Day I’d like to celebrate women’s contributions to mathematics.
I think that one of the most influential women in Mathematics right now is Danica McKellar. You may remember Danica McKellar from her starring role on the Wonder Years. You may also know her as the New York Times Best-Selling Author of Math Doesn’t Suck, Hot Algebra Exposed!, and Kiss My Math! Danica McKellar is revolutionizing the way that young women view math–which is important because they are the future for this historically male-dominated field.
“You don’t have to choose between being smart and being fun & fabulous. In fact, they work great together. And math is going to build up your brain and your confidence, and I’ll make it fun and entertaining to do!” -Danica McKellar
Discovery News: Girls Confident in Math and Science by Benjamin Radford
“Math is hard,” a talking Barbie infamously whined.
And math is tough for many people, but a new study from the Girl Scout Research Institute finds encouraging news about girls’ interest in (and confidence about) science, technology, engineering and math (STEM).
Contrary to the Barbie stereotype, many girls are interested in these subjects, perhaps inspired by women like Danica McKellar, an actress best known for her roles on “The Wonder Years” and “The West Wing.”
But McKellar isn’t just another pretty face; she’s also a math whiz, having graduated summa cum laude in mathematics from the University of California at Los Angeles, and written several books including “Math Doesn’t Suck: How to Survive Middle-School Math Without Losing Your Mind or Breaking a Nail.”
Actually, the widely-repeated Barbie quote above is incorrect; she really said “Math class is tough.” And like the Barbie quote, the perception that girls don’t feel smart enough to do math (or aren’t interested in it) isn’t quite true either: The study finds that 74 percent of teen girls are interested in STEM subjects.
As to why girls are drawn to STEM subjects, the study finds that girls take an active, inquisitive approach to engaging in science often thought of as boys’ behavior. Eighty-five percent of these gender-stereotype-busting girls like to solve problems; 67 percent like to build things and put things together; 83 percent like to do hands-on science projects; and 80 percent ask questions (and seek answers) about how things work.
Confidence in Math and Science
One of the most encouraging findings from the study is that “a high 82 percent of girls see themselves as smart enough to have a career in STEM.” The report also found that girls are similarly confident and optimistic about their intelligence, abilities and future. For example, nearly all (97 percent) girls say they will graduate from college, and a high percentage (84 percent) expect to attend graduate school.
This is important because low confidence in a person’s abilities can result in a self-defeating, self-fulfilling prophecy. Gender stereotypes are hard to break, and social pressures reflecting the stereotype that girls are not good at (or ill-suited for) math and science may unconsciously discourage girls.
For example, educators have observed that mothers encourage their sons more than their daughters to engage in hands-on activities in science museums.
A national report on college freshmen major/career interests shows that on average, only one-fifth of young women intend to major in a STEM field, compared to half of young men. The study notes, “few girls consider it their number-one career option: 81 percent of girls interested in STEM are interested in pursuing STEM careers, but only 13 percent say it’s their first choice.
Girls are also aware that gender barriers persist in today’s society: 57 percent of those studied agree that if they were to pursue a STEM career, they would ‘have to work harder than a man to be taken seriously.'”
Girls’ traditional disinclination to pursue careers in science and technology also has implications for pay equality; science-related jobs typically pay far higher than other comparable jobs. Women continue to be underrepresented in the fields of science, technology, engineering and math, but this study shows that the future has never been brighter for today’s girls going into STEM-related fields.
Ah, the question I’ve heard countless times since I decided to pursue a math major at UCLA many moons ago… “But you’re an actress, why on earth would you want to study math?”
Good question, especially considering the fact that I had struggled with math in middle school to the point of nightly tears! Sure, things improved after I was lucky enough to get some great teachers, but really? A math major?
Here’s how it happened: I graduated from high school and the The Wonder Years within a few months of each other. It had been a great time in my life, but I was ready for a new chapter – I was going to college and figured I’d learn the behind-the-camera crafts of screenwriting and directing at UCLA’s film school. A fresh, new start! Right? Wrong.
Everywhere I went, people recognized me and often called out across campus, “Hey Winnie, where’s Kevin?” At a time in life when most people (including me!) are trying to figure out their identity, I felt like I was stuck in mine – and it wasn’t even my identity, but that of a fictional character! I just needed to know who I was outside of that show, y’know?
In the meantime, I decided to face my middle school demons and take a math class to fulfill a general requirement. And not just any math class – Multivariable Calculus. I’d always liked a good challenge, and I figured I’d go for it and just hope for the best.
To my surprise, I really “got” the material – with tons of studying of course – and even shot to the top of the class after the first midterm. I earned the attention and praise from math professors throughout the department (many of whom didn’t own a television) and I was having fun. I abandoned the film major plan, and switched to math. I became a calculus tutor in the department, and at least in the halls of the UCLA math department, I went from “that girl on TV” to “that girl who helped me pass calculus.”
I felt the empowerment of the confidence that comes from feeling smart and capable – stuff having nothing to do with the glamour of Hollywood – and I was hooked. I liked the new identity I was building for myself; it felt good on the inside. As a bonus, getting recognized on the street became really entertaining, as when people would ask, “So what are you up to now?” the answer of pursuing a math degree always promised a fun reaction.
That newfound confidence taught me a big lesson: Being smart is something you can build for yourself. Investing that time and effort in something like math actually strengthens your brain and internal fortitude, making you smarter and more confident in all areas. And that kind of true confidence from within is a gift you give yourself that no-one else can give you… and no-one else can take away from you. Ever.
That’s why I chose math, and why I encourage others not to run away from math – especially teenage girls.
The truth is, all teenagers struggle like I did. You don’t have to be on TV to feel the pressures of trying to figure out who you are while surrounded by a world of negative messages that tell girls their only true value is how attractive they are (whether in Hollywood or not). And math is the best way I’ve found to combat those omnipresent messages, by building true confidence and strength from the inside.
This of course is why I’ve written math books for tween/teen girls, to fight the unfair stereotyping that conspires to hold them back. While breaking down math concepts, I tell girls: “You don’t have to choose between being smart and being fun & fabulous. In fact, they work great together. And math is going to build up your brain and your confidence, and I’ll make it fun and entertaining to do!”
I love all the emails I get from girls, telling me how I’ve changed their whole outlook on math, and of course helped them improve their test scores (sometimes literally overnight!)
It feels great to come full circle, from the 12-year-old girl crying over her math homework, to an insecure 18-year-old child star searching for an identity, and finally to a grown woman with the power – through my books – to help girls going through the same stuff.
I’m so very grateful for this journey!
 My parents tried so hard to comfort me… they weren’t the kind of parents to put pressure on me – quite the opposite – they often seemed bewildered by my tears!
10 Remarkable Female Mathematicians by Jessica Cangiano:
Pythagoras, Euler, and G.H. Hardy, if you’re interested in math or if you paid attention in school, chances are you’ve heard of these famous names and may be familiar with their work and accomplishments. But how about Agnesi, Cartwright or Goldwasser? These three names are amongst ten that we’ve selected as a means of highlighting some of the best and brightest female mathematicians of all time; women who unlike their male counterparts, have not always received the same level of recognition even though their achievements and contributions to the world of mathematics are just as important. These women were often groundbreakers, highly determined and very dedicated. They are shining examples of the fact that mathematics is not a “boys only” club, even if at many points in time it’s appeared that way on the surface. Today their work is recognized and appreciated, and they stand as fantastic sources of inspiration for a new generation of students and math enthusiasts – both female and male.
Hypatia of Alexandria (AD 350 to 370 – 415): Born nearly 17 centuries ago, Hypatia of Alexandria was a brazen, highly intelligent woman who excelled in the fields of science, math and philosophy, which at the time (and for hundreds upon hundreds of years further) were seen squarely as the domain of men. Hypatia’s foremost teacher was her father, Theon Alexandricus, a mathematician and philosopher, who she would later go on to contribute to several mathematical works with. Hypatia herself was a teacher, as well as being the inventor of the hydrometer. Though she forged ahead in a time when women were all but ignored in the realm of mathematics, this bright Greek woman eventually met with a tragic death when her chariot was attacked and she was brutally murdered by a gang of Christians. Though her life was cut short, while she was alive, through her accomplishments, Hypatia was able lay the groundwork for future female pioneers of mathematics.
Gabrielle Émilie Le Tonnelier de Breteuil, marquise du Châtelet (December 17, 1706 – September 10, 1749): A woman of many intellectual interests, Émilie was a mathematician, author, and physicist who hailed from France. Born into a well-to-do family, Châtelet was a gifted child with a natural penchant for linguistics. Given her family’s high social status, Émilie was able to receive a degree of education far above the vast majority of French women at the time. Her place in society also put her in a position wherein she was able to mingle with some of the leading minds of her time (such as Voltarie, who would go onto become one of her lovers). In 1740, Châtelet published a book entitled Institutions de Physique, which put forth some of her knowledge regarding both science and philosophy. In her last year of life, Émilie translated Newton’s well-known Principia Mathematica. In her early forties she became pregnant, and though she initially survived the pregnancy, a few days later both she and her newborn child passed away. Émilie was an independent, articulate and highly intelligent woman, who was somehow able to hold down both her role as a leading lady in French high society and as a mathematician, an equation which deserves respect in its own right.
Maria Gaetana Agnesi (May 16, 1718 – January 9, 1799): A woman of many skills, Agnesi was an Italian mathematician, linguist, and philosopher whose profound intelligence was evident from an early age. Born into a wealthy and large family (due in part to siblings which sprang from her father’s two subsequent marriages after Maria’s mother passed away), Agnesi was a devoted and studious woman who would go onto publish the first book that dealt with both integral and differential calculus. In 1750, Maria was appointed as chair of mathematics and natural philosophy at the Bologna Academy of Sciences, an incredible accomplishment for any woman in the mid eighteenth century, when exceptionally few universities in Europe allowed women to study, let alone hold teaching positions. Later in life, Agnesi, a deeply religious woman, joined a nunnery and ended her days tending to the less fortunate.
Marie-Sophie Germain (April 1, 1776 – June 27, 1831): Parisian born Germain was a passionate mathematician with a love of number theory and differential geometry. During her lifetime (which, in the context of both France and Europe in general, was a highly tumultuous era) Germain often corresponded under a pseudonym (Monsieur Le Blanc) as a means of hiding her gender when writing to leading male mathematicians of the time such as Lagrange and Gauss. In 1816 Sophie won a contest that was held by the French Academy of Science which dealt with the area of vibrations on elastic surfaces, that in turn lead her to become the first woman (short of some of the staffs’ wives) to attend classes at the Academy. In 1831, the University of Gottengen bestowed an honorary degree to Germain, however she died as a result of breast cancer before she was able to receive the degree. A self-taught mathematician who came of age during a truly unstable period in French history, Sophie will long be remembered for her mathematical contributions in the field of number theory.
Augusta Ada Byron King, Countess of Lovelace (December 10, 1815 – November 27, 1852): English born Ada was the daughter of famed poet Lord Byron, though he was not active in his daughter’s life. Aside from her famous father, Ada is primarily known for her programming work regarding Charles Babbage’s invention of the analytical engine, a very early mechanical general-purpose computer. Lovelace was ahead of her time in this field, as she believed that computers held the capacity to do more than just simply act as calculators. Like many of the women in this list, Ada met with an early death; she was only 36 when she died due to uterine cancer. Today Lovelace is remembered fondly as the first female computer programmer (in era before the modern computer came into existence), and the programming language Ada was named in her honor.
Sofia Vasilyevna Kovalevskaya (January 15, 1850 – February 10, 1891): Generally acknowledged as the first well-known Russian female mathematician, Kovalevskaya (portrayed above) began teaching herself advanced mathematics as a young teen, before going on to leave Russia so that she could attend university in mainland Europe (something that women were not allowed to do in Russia at the time). A very bright, quite and gentle person, Sofia loved to learn and was eager to share this passion with others by teaching math, though this proved to be very challenging for a woman in nineteenth century Russian and Kovalevskaya would again have to leave her homeland so as to take up a position lecturing at the University of Stockholm. Prior to her relatively young passing due to pneumonia, Kovalevskaya published numerous papers on topics pertaining to mathematics and mathematical physics, and won a prestigious award (the Prix Bordin) from the French Academy of Sciences. (Here you can find a mathematical book about her work.)
Amalie Emmy Noether (March 23, 1882 – April 14, 1935): Considered by Einstein to be most important woman in history of mathematics, Emmy (as she generally went by) was an early twentieth century German mathematician with a passion for such areas as theoretical physics and abstract algebra. Noether was both an accomplished university professor and a prolific writer of mathematical papers, as well as someone with a profound ability to grasp abstract thought. As the Nazi stronghold grew in Germany during the 1930s, Emmy found herself, like so many other Jewish professors, barred from teaching. Towards the end of 1933, Noether was able to escape Germany and take up a position at the American college of Bryn Mawr. However, sadly, two years later Emmy’s life was cut short when she died just days after undergoing surgery. To this day Noether’s many contributions towards mathematics and theoretical physics are highly revered, and many remain relevant to the math of the twenty-first century.
Dame Mary Lucy Cartwright (December 17, 1900 – April 3, 1998): An accomplished British mathematician, Cartwright led a long and distinguished career that focused on function theory. In her lifetime, Mary published in excess of 100 papers and was the first female mathematician to be elected as a Fellow of the Royal Society of England; a theorem regarding analytical function that she put forth, Cartwright’s theorem, shares her name. Cartwright received numerous awards and recognitions throughout her life including, the De Morgan Medal of the London Mathematical Society and the Sylvester Medal of the Royal Society.
Julia Hall Bowman Robinson (December 8, 1919 – July 30, 1985): An American mathematician who was born in St. Louis, Robinson is known for her work regarding Hilbert’s tenth problem and the field of decision problems. Though plagued by health problems for most of her life, Julia didn’t let this stand in the way of her love of math and the pursuit of knowledge. She taught as a professor at Berkley and was the first female mathematician to be elected to the National Academy of Sciences. An historical first in her career included becoming president of the American Mathematical Society. She would also go on to become elected to the American Academy of Arts and Sciences in the mid 1980s, just a few short years before she passed away from leukemia.
Shafi Goldwasser (b.1958 –): A native of New York (and the only living mathematician on our list), Goldwasser is both a professor of mathematics (at the Weizmann Institute of Science) and of computer science (at MIT, where she was the first person to hold an RSA Professorship). Shafi’s research focuses on areas such as cryptography, complexity theory and computation number theory, and she is well-known for her work with zero-knowledge proofs. For her work in the field of complexity theory, Goldwasser was awarded the Gödel Prize in theoretical computer science twice (1993 and 2001, respectively).
In this article we’ve taken a gander at ten well known and highly esteemed female mathematicians, but the list doesn’t stop here. Throughout history there have been numerous other women whose contributions to the field of mathematics have made significant impacts. In 1971 the Association for Women in Mathematics was formed with the intent of helping to establish and promote equal opportunities and treatment for girls and women in all areas of mathematics, while at the same time helping to encourage more to get involved with math.
Set your sights high, the higher the better. Expect the most wonderful things to happen, not in the future but right now. Realize that nothing is too good. Allow absolutely nothing to hamper you or hold you up in any way. Eileen Caddy
The Preppy Post Grad