Sunday, February 20, 2011

Harvard MIT Math Tournament congratulations!

Full HMMT public results are now available here. There were 100 teams and over 700 individuals participating, including many of the strongest math teams from all over the country, as well as teams from Beijing, Shanghai, Korea, and Nairobi.

Congratulations to our A-team (Albany Area Math Circle Steinmetz) for finishing 13th place on the A-division team round, amidst some very distinguished competition. Congratulations as well to AAMC B2 for placing 19th on the B-division team round and AAMC B1 for placing 28th.

Congratulations as well to the following students who ranked high in individual subject tests:

Matthew Babbitt
6th place individual Combinatorics/Geometry
25th overall individual sweepstakes

Ashley Cho
37th place individual Algebra/Geometry

Gurtej Kanwar
13th place individual Algebra/Calculus

Felix Sun
8th place individual Calculus/Combinatorics

Tuesday, February 15, 2011

More Chapter Congratulations!



Congratulations as well to Thomas Glozman of Maple Avenue Middle School, a member of our middle school math circle who won first place in the TriCounty MATHCOUNTS Chapter! Thomas is at right in the photo above working with Gideon Schmidt from Iroquois Middle School at one of last year's middle school math circle meetings. We are all about the building of bridges...solving problems together since 2001!

Sunday, February 6, 2011

Chapter MATHCOUNTS Congratulations!

Congratulations to all the awesome high school student coaches who have helped to coach the middle school students who did such an outstanding job at today's chapter.

The top seven teams all included students who have participated in our middle school math programs and/or have been coached by Albany Area Math Circle student coaches and/or advisors. Out of the top 20 individuals, 17 students have also participated in our middle school math circle programs and/or had AAMC student coaches.

First place team: Farnsworth Middle School



Three of the four students on Farnsworth's team have participated in our middle school math programs, as have several of their individual members. Student coach Zubin Mukerjee has done a particularly awesome job of working with William Wang and Bill Dong in his satellite middle school math circle. Bill Dong was 5th place individual; William Wang ranked 3rd on individual writtens, and won the Countdown Round. Alicia Chen, a member of the "persistent chickens" team from our middle school math circle made the Countdown Round also, ranking 11th.

Second place team: Shaker Junior High School



Gili Rusak, who ranked 2nd on writtens and made the semifinals in Countdown, led the Shaker team to a 2nd place team finish. Gili is already a member of our high school math circle, due to qualifying for AIME last year. She also participated in Zubin Mukerjee's satellite math circle before joining our high school group. Prior to that, she was a member of satellite math circle mentored by Matthew Babbitt and Zubin's older brother Zagreb. Her teammate Alex Cao, who ranked in the top 20, has been an active member in our middle school math circle meets for the past two years.

Third place team: Van Antwerp Middle School



Student coach Jason Xu and his assistant Suman Padhi coached the successful VA team, which had two students participating in Countdown: Alexander Wei (4th place individual) and Andrei Akhmetov (13th place individual.) Their teammate Jason Tang also made the top 20.

Fourth place team: Home Educators Enrichment Group



Student coach Matthew Babbitt and his assistant Jien Ogawa coached this team, which did a superb job on the team round. Team captain Isaac Smith made the Countdown Round in 12th place and his teammate Philip White also made the top 20.

Fifth place team: Acadia Middle School



Student coach Felix Sun coached the Acadia team, as well as Koda Middle School. Three of the team members made the Countdown Round: Jerry Qu (8th place writtens), Joe Lou (7th place writtens), and Phillip Sun, first place writtens.

Sixth place team: Iroquois Middle School



Iroquois student coaches were Aniket Tolpadi and Elizabeth Parizh. Team member Gideon Schmidt made the Countdown Round, while his teammates Rocket Ruona and Patrick Chi also made the top 20. Gideon, Rocket, and Patrick have all been members of our middle school math circle. Patrick has also been a regular at Zubin Mukerjee's satellite math circle in Guilderland.

Seventh place team: Hebrew Academy of the Capital District (HACD)



The HACD team is coached by Albany Area Math Circle advisor Alexandra Schmidt. Many of the HACD students have been participating in our math circle's fall math meets. Team member Zachary Benson qualified for the Countdown Round with a 9th place rank on individuals. For reasons of Sabbath observance, HACD students took the contest earlier in the week. HACD deserves special recognition for the awesome participation rates: their school is very small, with only 50 students in combined enrollment in all three eligible grades (6/7/8) but fully one-third of Hebrew Academy students in those grades are active and enthusiastic participants in their school MATHCOUNTS program! HACD mathletes celebrated afterwards with a party at their MATHCOUNTS coach's home. Her prodigious talents include the ability to make hot fudge and caramel sauce from scratch! (Click on the photo below for a clearer image of the mathletes' delighted expressions!)



A special shout-out to the newest team, Hackett Middle School from Albany City School District, which placed a very respectable 12th out of 21 teams, an awesome performance for a first outing for a brand new team that only started up in January.



The team's student coach was Hilly Adler, a student at Albany High School who is a former mathlete from Hebrew Academy. Hilly worked in concert with Hackett Middle School teacher coach Tamara Moffett. There were many bureaucratic obstacles to getting a team off the ground in a large urban school district. Kudos to Albany Area Math Circle advisor Alexandra Schmidt for supporting Hilly in being tenacious to make this team happen, and in providing advice about team coaching.



Shout-outs as well to Doyle Middle School coach Nancy Smith, whose team placed 10th. Nancy is a dedicated and experienced veteran coach whose students have recently begun participating in our middle school math meets. There are many challenges in coaching an inner city school team, and Nancy meets them all energetically. Several of her teams have gone to state and two of her mathletes have made it all the way to nationals. Nancy has recently started up an exciting and creative new outreach initiative to elementary schools in her district, bringing enthusiastic young mathletes to solve problems together even before they reach middle school.

Top 20 individuals



1. Phillip Sun Acadia
2. Gili Rusak Shaker
3. William Wang Farnsworth
4. Alex Wei Van Antwerp
5. Bill Dong Farnsworth
6. Noah Rudnick Shaker
7. Joe Lou Acadia
8. Jerry Qu Acadia
9. Zachary Benson Hebrew Academy of the Capital District
10. Gideon Schmidt Iroquois
11. Alicia Chen Farnsworth
12. Isaac Smith heeg
13. Andrei Akhmetov Van Antwerp
14. Jason Tang Van Antwerp
15. Jeremy Collison Farnsworth
16. Patrick Chi Iroquois
17. Rocket Ruona Iroquois
18. Billy Schmitt Schalmont
19. Phillip White heeg
20. Alex Cao Shaker

Thanks again to GE Global Research for general awesomeness in hosting our Chapter Competition and to all the volunteers who made it possible.

I'd also like to recognize the awesome math circle affiliated adult community volunteers who have helped to organize and coach teams: Bill Babbitt (heeg), Anil Tolpadi and Steve Schmidt (Iroquois), Hong Chen (Van Antwerp). Kudos as well to all the professional math teachers in the Capital District who sponsor teams at their schools. Without the support and leadership of adult sponsoring coaches, none of the 21 teams could have existed, let alone been as successful as they were!

Friday, February 4, 2011

Don't lose ALL your marbles!

Tonight our math circle worked on the 50th anniversary American High School Math Exams (AHSME) problems, which contained one problem from each of the first five decades of the AHSME. (For those who don't know, the AHSME was the predecessor of today's AMC12 contest. And it all started in New York State in 1950--yay for New York pride!)

Here is one of the problems a number of tonight's students especially enjoyed from the 1991 AHSME contest given 20 years ago, before any of the students eligible to take this year's AMC contests were born.



To clarify these instructions, let's be clear that you can use the four allowed procedures as many times as you like, in any order that you like.

It looks very daunting at first--there are so many possibilities to consider.

If you want a hint, check the comments.

Saturday, January 29, 2011

Harvard MIT Math Tournament travel teams

Our Albany Area Math Circle HMMT travel team names celebrate the contributions of three distinguished researchers from our area:

Charles Proteus Steinmetz 1865-1923

Frank Albert Benford 1883-1948

Katharine Burr Blodgett 1898-1979


Albany Area Math Circle-Steinmetz team

Matthew Babbitt
Ashley Cho
Gurtej Kanwar
Paul Rapoport
Schuyler Smith
Wyatt Smith
Felix Sun
Jay White


Albany Area Math Circle-Benford team

George Gelashvili
Cecilia Holodak
Preston Law
Zubin Mukerjee
Elizabeth Parizh
Gili Rusak
Aniket Tolpadi
Jason Xu


Albany Area Math Circle-Blodgett team

Ryan Cheu
Matt Gu
Satjiv Kanwar
Justina Liu
Isaac Malsky
Luxi Peng
Philip Sun
Laura Tang

Sunday, January 2, 2011

Happy Prime New Year!

Jim Tanton tweets:



If you start to look for other primes that are also average primes, you may stumble into some fascinating conjectures related to various forms of the Goldbach conjecture.

Pat Ballew also blogs about fascinating properties of 2011:

Well, it's the first prime day (the 2nd day of the year 2011) of a prime year that is the sum of a prime number of consecutive primes. In fact, it can be written as the sum of a prime number of consecutive prime numbers in at least two ways. The easy one is 2011 = 661+673+677, the other one that I know takes eleven consecutive primes...find it..I have been told there is not a year that can be expressed as a sum of successive primes in more than two ways for over a thousand more years That, my mathematical readers, is a lot of primes.

2003 was the last prime year, and it had the special property that the sum of its digits was also prime... not true for 2011.

Both 2017 and 2027 will be prime, but only 2027 is expressible as the sum of consecutive primes, but not a prime number of them.2081 is the next year that will be, like 2011, a prime that is the sum of a prime number of consecutive primes. If you forget, I'll remind you on Jan 2nd of that year... guess I better start working on a healthier diet... let's see, that will make me .... WOW, that IS a big number....
So what is the next year that can be expressed as a sum of consecutive primes starting with two... 2 + 3 + 5 + 7 ...... ????

Saturday, January 1, 2011

Albany Area Math Circle honors last year!

As we look forward to a new year ahead, it is fun to look back on the exciting accomplishments for our Albany Area Math Circle in 2010, and to compare those numbers to a decade ago, right before our math circle started up.

In 2010, Albany Area Math Circle students represented 17% of the Distinguished AMC12 Honor Roll students in the state, all the more impressive since the Capital Region only has about 4% of the state's population. As a measure of the impact of our math circle, it is interesting to compare our 2010 results to the results from the AMC12 contests given in 2000 and 2001, right before our math circle started up. Only 4% of the AMC12 Distinguished Honor Roll students in New York State came from our area back then!

Looking at the 2010 USAMO qualifier list paints a similarly impressive picture. Five of New York's 28 USA Math Olympiad (USAMO) qualifiers (18%) were Albany Area Math Circle students in 2010. By contrast, back in 2000 and 2001, before our math circle started up, there was only one USAMO qualifier from our area, 5% of the total number in those years. For almost two decades prior to 2000, there had been zero USAMO qualifiers in our area.

The annual AMC Honor Roll book has just become available here. Screenshots of a few especially noteworthy pages from the book are below:



The excerpt above comes from pages 50-51, which lists the top 5 teams in each of the ten regions in the US and Canada. AAMC was tied for second place team in our region (New York/NJ) in 2010! Back in 2000 and 2001, a composite AMC12 team based on the strongest three students in the Capital District would have been 50 to 60 points behind first place Stuyvesant. This year, our math circle team was only 3 points behind Stuyvesant (and looking only at the AMC12B date contest, our math circle team actually beat Stuyvesant's team by 9 points!)



Pages 57-59 list the top 10 individuals in each of the ten regions in the US and Canada, as well as the top-scoring 9th grader in each region. As you can see from the screenshot above, Albany Area Math Circle had two of the top 10 individuals in our NY-NJ region, and we also had the highest scoring 9th grader in the region!

"But wait, there's more!" (as they say on those late night TV infomercials.) Albany Area Math Circle students placing on the AMC12 Distinguished Honor Roll are highlighted in yellow below (note that some of our members are listed under their schools where they took the tests):



Congratulations as well to all math circle students listed on the AMC12 Honor Roll on pages 91 to 94: Paul Rapaport (Albany Academy), Heidi Chen (Emma Willard), Zubin Mukerjee (Guilderland), Aniket Tolpadi and Jason Xu (Niskayuna), Adam Parower and Gili Rusak (Shaker), Felix Sun (Shendandehoah), and Jay White (homeschooler).

And shout-outs as well to our Upstate New York friends in the Ithaca Math Circle! They are off to an awesome running start! A search on "Ithaca" in the AMC Honor Roll book reveals 18 instances of their students listed on the honor lists. We will have a post highlighting their math circle coming soon.