What's New at BEAM?
Thanks to everyone who has contributed to BEAM!
Now that our summer programs are over, our students would like to tell you what they accomplished.
“I solved a lot of challenge problems with my friends.” —Ruth, BEAM Discovery
“I solved 12 problems in the 100 Problem Challenge.” — Vernon, BEAM Discovery
“I learned some coding and got WAY better at it. BEAM made me love math and realize my passion for it!” —Mia, BEAM Discovery
“This is my first ever program and I loved it! I’m glad that you helped support BEAM.” —Hayden, BEAM Discovery
“BEAM helped me see math in a whole different way. THANKS.” —Sanjana, BEAM Discovery
“BEAM is a glowing star.” (left) —Estefani, BEAM Discovery
“BEAM is out of this world.” (right) —Allison, BEAM Discovery
So what exactly happens at BEAM Discovery? Here’s a look at a typical day, featuring photos from BEAM Discovery’s Downtown NYC campus!
The morning starts with breakfast, followed by morning classes. BEAM believes in choice, so students pick classes, which might be “Beating Sherlock” or “Fractions, Puzzles, and Games.”
After class, students have an hour of Open Math Time, time where they can work on any math they choose, individually or in groups. They make sure to complete required PSets (problem sets) from class, and they can then explore challenges (the Problem of the Week or the 100 Problem Challenge), math books, coding websites, the Art of Problem Solving, and more.
After class, it’s on to activities! BEAM students get their choice of sports, board games, arts and crafts, and other creative activities. Recent hits included how to solve a Rubik’s cube, origami, anime club, and relay tic-tac-toe.
After activities, it’s off to lunch. BEAM pays for catered lunch from local restaurants every day. These photos are from empanada Thursday!
Most days, the afternoon block features an exact repeat of the morning block: class, open math time, activities. But one day each week, we have special afternoons, which feature Relays, a team-based math competition where students solve math challenges with some silliness mixed in. A recent problem required students to hum a tune their judge would recognize before they gave their math answer!
When the day wraps up, students join their travel groups to take the subway home and relax and recharge so their brains are fresh for another day at BEAM!
Today, we have a guest blog post from long-time BEAM volunteer, Maury Bohan, who is also a retired 6th grade math teacher. Maury accompanied our staff on an admissions school visit back in March and had the following to say about her experience. While BEAM’s admissions season is over (it runs January-March), we’re always thinking ahead to next year, when we can’t wait to meet 6th graders in Los Angeles and New York City who are applying to our entry level program, BEAM Discovery.
Early in March, on a Wednesday morning, I had the pleasure of joining Lynn Cartwright-Punnett at PS 171/Patrick Henry Preparatory School in East Harlem, which has been a BEAM partner school since 2014. I had wanted to participate in a visit to one of BEAM’s partner schools, and Lynn felt it would be beneficial if we used the visit as a chance to share details with our many volunteers, instructors, and supporters.
A 7th grader works on the Admissions Challenge.
We began the morning with eight 7th graders, two of whom attended last summer’s BEAM Discovery program. The goal was to check in on what the BEAM Discovery alumni were doing and also to identify any 7th graders who we had not met in 6th grade, who would benefit from joining our program, AND who could succeed despite not having attended last summer. Lynn shared the goals of the BEAM Pathway Program, which include “…going farther than you expect, learning more, and exploring new ideas.” In addition to the potentially overwhelming information that the students would be with BEAM all the way through college, she also tempted the young students with details about dorm life, field trips, and good, hard brain work. After responding to questions, Lynn handed out the Admissions Challenge — seven questions to be completed in 40 minutes, and explained that the goal is not to do all of it perfectly, but rather “to figure out what you can figure out.”
7th graders at another BEAM partner school, KIPP Infinity, tell their 6th grade colleagues about BEAM Discovery.
After the 7th graders left the room, we were joined by a new crew of about fifteen 6th graders. They were physically so much younger than the 7th graders — clearly still children — and obviously nervous. Lynn immediately put them at ease, asking what they already knew about BEAM Discovery — basically that it is a summer math program five days per week for five weeks. She shared the daily schedule, and the goal to challenge brains, to grow and do more than students could do before, and to be a member of a math-loving community. Again there was talk of preparation for college, in terms of how choosing courses and activities during the summer is a way to start building autonomy so as to eventually be ready for decision making in college. Lynn then handed out the Admissions Challenge, and reminded students that “The goal isn’t perfect work; it’s interesting work.”
Besides the results of the students’ work on the Admissions Challenge, there are a few other ways for them to demonstrate their potential as a BEAM student. They are all asked to share how they felt about the challenge and what they liked about it. They are also given some extra problems to do at home and send back, which can show readiness and interest, and allow students to perform while not under time pressure.
There is a third way that a student might earn some unofficial points toward gaining a slot in a BEAM program, and it was demonstrated after the sixth graders left us. Lynn earlier had an opportunity to quickly review the 7th graders’ responses to their Admissions Challenge and had asked the school contact person to bring one student back to our classroom for an interview. This would allow Lynn to ascertain whether the student is as ready for this summer’s 7th grade program as all the incoming alumni of last summer’s Discovery Program will be. I enjoyed listening first as the two of them chatted about school and math, and the student’s personal life. She shared that her life outside of school is mostly homework, supporting a younger sister’s homework, and church. She has never been outside of New York City, and wants to be a veterinarian when she grows up. What is she most concerned about in regards to BEAM’s summer program? That it is a sleep away program!
After chatting, Lynn and the student got down to work, discussing some great math problems. How encouraging it was for me to observe their back and forth, and the young lady’s willingness to draw conclusions, and then re-evaluate them given Lynn’s prodding. The student’s patience, persistence, and flexible thinking seemed to me qualities that will make her succeed, and that BEAM would benefit from. And this is where those unofficial points toward entrance come in to play. “Slant points” are like an additional note, one which this girl definitely received, that says if there is a tie for a slot at BEAM, this student has that “something extra” that makes her the preferred candidate.
As a retired teacher, I can’t imagine many more encouraging mornings than watching all of these 6th and 7th graders voluntarily meeting with a stranger to demonstrate their interest and talent in mathematical thinking. I can’t wait to hear which students are joining us this summer, and I look forward to seeing them grow and thrive through high school.
Maury works with Alberto and Rebecca on trivia questions at BEAM’s annual night of puzzles and trivia.
On Saturday, May 4th we welcomed newly admitted BEAM Discovery students to the program with our annual Family Welcome Lunch. Students and their families got the chance to meet the BEAM full time and summer staff, other admitted students and learn more about what to expect in from the summer. Additionally, we invited BEAM alumni and parents to come share their experience during the summer. Check out some pictures of the event below:
If you did not get to attend the lunch or are interested in the event, check out the video below:
This winter, BEAM is busy! We are busy hiring summer faculty, summer counselors, and other summer staff and even a few full time staff. But those aren’t the only positions we are looking to fill. Every summer we invite guest speakers to BEAM Summer Away and BEAM Discovery sites. Our invited speakers are talented mathematicians from around the world, and their talks are a window into the work of professional mathematicians, giving students an opportunity to learn new ideas from the wide world of mathematics. Some past speakers have focused on complex mathematical topics, while others share their day to day life as career mathematicians. As we line up further intriguing talks for this summer, now is a great moment to reflect on some of the lovely talks and mind-bending math our guest speakers shared with us last summer.
This past summer our guests included Dr. Edray H. Goins, Dr. Susan Loepp, Tai-Danae Bradley, and Darleen Perez-Lavin. They each presented a unique take on a mathematical topic and BEAM students got a kick out of what they had to share.
Edray confronted a complicated topic: infinities and cardinality. Though this topic is deep and challenging even for mathematics majors at top colleges and universities, Edray balanced the abstract ideas with concrete examples. He started with basic ideas and questions: What is a set? How can you count things in a set? How many subsets are there in a set with n elements? Then the talk got more abstract, and Edray lead students through a very enjoyable explanation of Cantor's famous theorem. Students had the chance to see how much there is to the mathematical world than just numbers, equations and geometry formulas.
BEAM values having guest talks that start out very friendly to students and then go off the deep end in mathematics a bit because they allow students to see just how serious and deep math can be!
Dr. Edray H. Goins is a Professor of Mathematics at Pomona College in Claremont, CA and president of the National Association of Mathematicians. Edray presented at BEAM Discovery Los Angeles.
Dr. Goins presents to the students at BEAM Summer Away during Vassar 2016. Edray has been a guest speaker at BEAM for three straight summers!
Dr. Susan Loepp, Chair and Professor of Mathematics, Williams College. Susan presented at BEAM Summer Away at Union College.
Susan introduced a team game that involved wearing hats. It costs money to play, but if you win, you get the cost doubled back. Will you win or lose money in the long run? Susan gave student volunteers a chance to play the game (not with real money) and think about optimal strategies. After a lot of trial and error (and some inadvertent cheating), students claimed to Susan that they could win 50% of the time. But she said they could do better! The rest of the talk focused on independent and dependent probability and how those concepts impact game theory. Students found the session fun and silly, yet thought provoking. Many were still talking about it the next day!
Tai-Danae came into the room with lots of brightly colored cubes. The purpose? The Instant Insanity puzzle. Everyone got four cubes with each face colored in one of four different colors. The question: can you make a stack four cubes tall so that each side of the stack has one face of each color? With over 80,000 possible configurations, this is a big challenge, but using the tools of graph theory you can solve it quickly! If you're curious, Tai-Danae also presented it on PBS Infinite Series and you can take a look and try it yourself.
Tai-Danae Bradley is a PhD candidate in mathematics at the CUNY Graduate Center, and creator of the intriguing math blog: https://www.math3ma.com/. Tai-Danae presented at BEAM Discovery NYC Uptown.
Darleen Perez-Lavin is a SMART fellow and graduate student at the University of Kentucky. Her talk was based on quantum computing research at Fermi National Accelerator Laboratory. Darleen presented at BEAM Summer Away at Union College.
Darleen gave a presentation on the Traveling Circus Problem, a more general version of the well-known and very difficult Traveling Salesman Problem (so well known and difficult that the University of Waterloo has a whole website devoted to it). Darleen presented new research on how this problem is related to quantum physics. Her talk gave a glimpse into how pure mathematics can have applied applications. The ideas jumped from Euler's solution to the Seven Bridges of Königsberg problem to talking about modern physics! Students interested in applied mathematics were especially fascinated.
We can’t wait to see all the amazing talks that this upcoming summer has in store. And if you enjoy cool math (and aren’t quite as busy as BEAM is at the moment), we encourage you explore the topics touched on in the talks above.
BEAM students play a game during Dr. Susan Loepp’s math talk at BEAM 2018.
At BEAM Discovery 2018, two students work together to solve a math problem.
Here at BEAM we are incredibly excited for the new year! We are already diving into hiring our summer staff and admissions for our summer programs. We anticipate many highs and lows as waves of college and high school acceptances for our current BEAM students roll in. As BEAM braces for all the fresh and familiar that the new year is bound to bring, this seems like the perfect time to debut our programs’ shiny new names. Throughout the fall of 2018, BEAM staff spent some time carefully thinking about how to update our program names to make sure they truly showcase what our programs are about. After much thought, we are excited to announce our new program titles.
Our summer program after 6th grade, formerly BEAM 6, will now be known as BEAM Discovery. We’ve made an even bigger change to our other program, BEAM 7. Recognizing that we now support students from 7th grade through college, we’ve renamed it the BEAM Pathway Program, which comprises the summer program and all that comes beyond. The idea behind these new names is that first you discover BEAM, then you walk down the pathway with us, which culminates in college graduation! There are many steps in the BEAM Pathway Program, each with its own name: BEAM Summer Away (the residential summer program), BEAM 8th Grade Support, BEAM HS Support, BEAM College Prep, and BEAM College Support.
Of course, being our usual nerdy selves, we had to throw around some rather mathy name suggestions before we settled on this sensible line up. While we ended up choosing names that are a little more practical and prosaic, we felt these whimsical, mathematical suggestions deserved an honorable mention as runners-up:
7th Grade Summer Program: BEAM Axiom
8th Grade Saturdays: BEAM Hypothesis
9th-10th Grade Saturdays: BEAM Conjecture
11th-12th Grade Saturdays: BEAM Infinity
College Support: BEAM Omega
As fun as these names were, we wanted to make sure that our new names clearly conveyed what each step of our pathway is really about. We believe we have captured each BEAM program with the name we have chosen, and we are excited to fully transition to using our up-to-date names here in 2019!
Students at BEAM Summer Away 2018 explore a waterfall together!
