Math Prize for Girls contestants

Ashley Cho, Heidi Chen, and Anagha Tolpadi at Saturday's Math Prize for Girls in Manhattan. We are proud to claim all three as members of the Albany Area Math Circle.

Ashley and Heidi attend Emma Willard School, where they are leading other students in preparing for the upcoming Harvard-MIT Math Tournament in February. Both are boarding school students from overseas; Ashley is a junior and Heidi is a senior. Anagha is a senior at Niskayuna High School.

Ashley is a 2008 USAMO qualifier who was a member of Albany Area Math Circle's NYSML team, which ranked 3rd in the New York State A-division in 2009. Ashley tied for 25th place at Saturday's contest, bringing home one of the beautiful crystal honorable mention trophies you can see sparking in the background of the photo at right. The competitive field was exceptionally strong, including many students from all over the country who have won medals in international competition, making Ashley's honor all the more impressive. Ashley was the highest scoring student from any school in New York State.

Heidi is also an outstanding math student, who was selected to participate in the 2009 Princeton Summer Workshop in Mathematics. Heidi has twice been named to the Upstate NY ARML team, an all-star math team representing all of Upstate New York at the national American Regions Math League (ARML) tournament held simultaneously at four college campuses across the country in June each year.

Anagha is a multi-talented student at Niskayuna High School, where she is editor-in-chief of the school newspaper. She got her start in math contests as a sixth grader at Iroquois Middle School, where her first math-team coach was AAMC member Alison Miller. She went on to achieve many honors, including qualifying for the American Invitational Math Exam while still an eighth grader. Now Anagha is paying it forward by coaching the Iroquois Middle School team herself. Two years ago, she coached the team all the way to the state finals, and she is working hard to encourage them again. She is also an enthusiastic mentor for our middle school math circle. Here's what she has written about her experiences working with younger students:

I volunteer my time coaching MATHCOUNTS at my former middle school. I had participated when I was in middle school and I had loved it then. As a coach, everything is certainly different, but honestly, I love it even more now. I expect a great deal from the kids, and they know it, which makes them work harder. To be able to help kids problem solve and teach them new concepts is like nothing else in this world. There is nothing better than watching a kid's face light up when he figures out a problem, knowing that you helped him get there.

All three of these outstanding students have clearly learned and put into practice the most important lesson we try to share with all members of Albany Area Math Circle: the best way to deepen your own understanding of mathematics and problem solving is to reach out and help someone else!

Math Prize for Girls problems now available to the world

As I mentioned in my post yesterday, the Math Prize for Girls problems are a terrific learning opportunity for everyone, regardless of gender or whether they were able to travel to participate in Saturday's contest. The problems are now available for download. (Use this URL if the embedded link doesn't work: http://mathprize.atfoundation.org/MathPrize2009problems.pdf)

If you want a place to discuss your solutions and alternative approaches, this Art of Problem Solving dedicated forum is the place to go. The problems' author, Ravi Boppana, is an active discussion participant on that forum, and mathematically passionate students from all over the world contribute their ideas.

I plan to work on these problems myself as I find time to do so. I can think of a few public officials who might also find working on some of these problems a valuable learning opportunity as well. For starters, there's US Education Secretary Arne Duncan and NYC School Chancellor Joel Klein. It would be good for them to see the kinds of challenging problems that these high school students attacked with such energy--on a Saturday morning! Maybe Mayor Bloomberg too! Then there's US Treasury Secretary Tim Geithner (and, no, Mr. Secretary, you may NOT use TurboTax--or even a calculator--on these problems!) And, of course (mischievious grin!), maybe White House Economic Advisor Larry Summers would enjoy working on these math problems, when he needs a break from solving the country's economic problems.

Imagine the possibilities for Intrade betting if those folks had been "celebrity contestants" allowed to try the problems under timed and proctored conditions. My money would have been on quite a few of those high school girls to beat all the government officials listed above.

Math Prize for Girls highlights

A century ago, suffragettes gathered in Cooper Union's Great Hall, agitating for the right to vote for women. I believe they would have been bursting with pride if they could have seen the first annual Math Prize for Girls awards ceremony held in that hallowed and historic hall yesterday afternoon.

The winner was Elizabeth Synge from Massachusetts, taking home a prize check for $20,000 for top honors on a very challenging set of problems during yesterday's written test held at NYU's Courant Institute of Mathematics. This prize was yet another impressive accomplishment for Elizabeth, shown above in a photo taken last summer at an international competition in China, where she also won high honors. You can read more about Elizabeth's background here.

Joy Zheng of Washington, Lynnelle Ye of California, and Jane Wang of New Jersey all tied for second place in the contest and took home checks for $6,000 each.

Albany Area Math Circle's own Ashley Cho from Emma Willard School, who tied for 25th place, brought home a beautiful sparkling crystal engraved trophy for Honorable Mention. Complete results for the top 31 students are listed here. All 220 students took home Mathematica software donated by Wolfram as well as new friendships forged with kindred spirits talking over the problems after the competition.

It was an honor just to qualify for an invitation to such an event, and Albany Area Math Circle was also proud to be represented by Ashley's schoolmate Heidi Chen from Emma Willard as well as Anagha Tolpadi from Niskayuna High School. Younger Albany Area Math Circle students have already been inspired to work hard in hopes of qualifying in future years.

As advisor to the Albany Area Math Circle, I have attended scores of math contests but never have I attended one quite as unusual--or as visually spectacular--or as well-organized!--as this one.

I have some brief notes and observations below--more will follow when I have time.

#1) To my knowledge, never have so many young women with so much mathematical promise come together in a single place before. The gathering provided an opportunity for a girl who might have few kindred spirits sharing her passion in a small hometown to make friends and form bonds with a community of young women sharing her interests from all over the country. The students attending the event have been exchanging email addresses, cell phone numbers, and Facebook friend invitations.

To give some idea of the strength of the field at the Math Prize for Girls, the 220 contestants from around the country included numerous USA Math Olympiad qualifiers as well as members of recent US China Girls Math Olympiad (CGMO) teams who are still in high school, including gold, silver, and bronze medalists from that prestigious international competition.

#2) There were 20 excellent and very challenging problems for the girls to tackle during the 2.5 hour morning written exam, mostly created by the contest's extraordinary director, the highly talented Ravi Boppana. He was assisted by a stellar advisory board, including mathematicians from Berkeley, Harvey Mudd, MIT, Princeton, and Stanford. I hope the Math Prize for Girls will publish their problems on the website, because they will be a great problem-solving resource and learning opportunity* for all students to work on, no matter what their gender, where they live, or whether they were able to take part in person.

#3) While students were taking the written test, Richard Rusczyk, from Art of Problem Solving, gave an outstanding talk to parents with excellent and eminently sensible advice about opportunities and resources for encouraging students to develop their problem-solving abilities. I agreed with pretty much everything he said, except there were things I wanted to add and underscore. After the slides from his talk are posted to the contest website, I'll create a post adding my own thoughts.

#4) Mathematician Cathy O'Neil gave a superb keynote speech, which struck exactly the perfect chord. It's not easy to give a talk that engages a large group of high school students you've never met before who are mathematically exhausted after a morning of working on very hard math problems and who are nervous and excited about the upcoming announcement of awards and a possible tie-break round, but she delivered a sparkling talk on a fascinating topic she'd first encountered on an old HCSSiM "Interesting Test." Her discussion focused on an application of directed graph theory problems known as "chicken pecking order" problems. There are many related explorations math circle students can explore, and you can find some good related problems in Sam Vandervelde's list here.

#5) The other shorter talks were great as well. I enjoyed them all. I have sat through scores of tedious awards ceremony speeches over the past ten years--these were the best ever.

#6) The newly renovated historic Cooper Union Great Hall provided an awe-inspiring and highly appropriate setting for the awards ceremony. Presidents from Lincoln through Obama have spoken here. Many important social movements, including women's suffrage, took root here. What a terrific place to promote a new movement to encourage even more young women across the country to embrace mathematical challenges.

#7) There was a superb team of volunteers assisting with the contest, including many familiar faces and names I knew from the New York City Math Teachers' Circle or NYSML. Volunteers I recognized included Deanna Abramowitz, Tim Evans, Maggie Feurtado, Sheila Krilov, Marie Parham, Ming Jack Po, Amy Prager, and others whose faces were familiar but whose names escape me. Many of the volunteers were highly dedicated New York City math teachers, going above and beyond their usual duties after a hard week of work in the classroom.

Thanks to so much able and highly experienced help, proctoring and scoring went extremely well. I was sitting very close to the side of the stage and found myself extremely impressed by the exceptionally smooth and graceful execution of the simultaneous and complex tie-breaking round to break ties for second, fifth, and eighth place. It's volunteers like these who make such contests possible.

#8) One highly talented young woman, Meena Boppana, was present at the event, but notably absent from the competition. Meena is a Hunter College High School sophomore and already has established an outstanding record as a New York mathematical rock-star. Since her dad was the director of the Math Prize for Girls event, she was of course not eligible to compete, but she and her mother, Dr. Ranu Boppana, were both enthusiastic and very helpful volunteers.

As a seventh grader, Meena made mathematical history by winning the Manhattan Chapter MATHCOUNTS written contest, almost surely the first girl to do so. As an eighth grader, Meena ranked 2nd in the statewide MATHCOUNTS competition and represented the great state of New York as a member of the state team at Nationals in Denver. As a ninth grade freshman, Meena made the citywide A-division high school team which won the New York State Math League championship.

#9) I felt an overwhelming sense of "grandmotherly" maternal pride at this event. I don't have any actual biological grandchildren so you might be wondering how this could be possible.

So many of the participants were students that my daughter Alison had mentored through her work as a mentor or coach or instructor in programs such as China Girls Math Olympiad, MathCamp, Girls' Angle, MATHCOUNTS, and the Math Olympiad Summer Program, that I realized that I was in some sense a "mathematical grandmother" of many of these girls. In fact, some of the girls may even have been been mentored and coached by still other students whom Alison had mentored, which makes me their "mathematical great-grandmother" (or who knows, maybe even a mathematical great-great-grandmother....)

It makes me feel a little old....but I don't mind! And I also didn't mind the long lines in the women's restrooms at the end....it was nice to see all the networking among the girls going on in the lines (and waiting in the long lines gave me a chance to dispense a few more tips to other mothers interested in starting up math circles in their hometowns.) Women's restrooms are usually relatively deserted places during typical math contests--it was nice to be in a busy one for a change.

*In my opinion, the learning opportunity is a great one for adults as well as students. I plan to work on the contest problems myself. I also have a few ideas for some who could learn a lot from working on these problems, but I'll reserve those for a separate post.

NOTE: Updated 11/18/2009--thanks to Contest Director Ravi Boppana for providing information to set the record straight and correct a few errors in the earlier version of my post. The most significant error is that his daughter Meena actually attends Hunter College High School, rather than Stuyvesant as I had previously stated incorrectly.