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James Tanton, a vising scholar of the Mathemacal Associaon of America (MAA), will deliver the key- note address at the annual TIME 2000 event, Celebrang Mathe- macs Teaching, at Queens College on November 22, 2013. Dr. Tanton’s goal is to connect the creave math- emacs pracced and explored by mathemacians to the mathemacs learned by students. His credenals in the fields of mathemacs and educaon are numerous, including B.S. degrees in Mathemacs and Mathemacal Physics from the Uni- versity of Adelaide (Australia) and an M.A. and Ph. D. in Mathemacs from Princeton University (USA). As a result of his academic achievements and teaching excellence, Dr. Tanton received several awards including the MathMovesU Math Hero Award and the Princeton University Engineering Council Teaching Award. Dr. Tanton became a mathemacian because he always loved “pondering about mathemacs” as well as shar- ing his mathemacal thoughts with others. He became a mathemacs teacher because he consulted with mathemacs teachers and wanted to learn about the demands and life of a high school teacher. According to Dr. Congratulations to: Marche Mason (T-15), Lu Li (T- 15), Nancy Strbik (T-14) on receiving Presi- dential Achieve- ment Honor Roll Awards on No- vember 14, 2013 Wen Yu (Sara) Tsui (T-3) on the birth of her daughter Eliza- beth on July 23, 2013 Luwen Zhang (T -11) on her wed- ding on August 18, 2013 Nerline Hyppo- lite (T-13) on her engagement TIME2000 Volume 12, Issue 1 November 2013 Editors-in-Chief: Nicole Turato (T-13) Timothy Ho (T-15) Crystal Purpura (T-15) Advisor: Naomi Weinman T I M E 2 0 0 0 N e w s l e t t e r make the learning and teaching of mathemacs more enjoyable. He stresses the importance of giving students interesng problems and encouraging them to use “common sense and wit” to find ways to solve the problems. Due to today’s focus on tesng, this is a great challenge. According to Tanton, “intellectual play” is the key for future mathemacs teach- ers to share their love for mathe- macs with their students. “Be full of play and wonder,” he advis- es. “Be playful with words and terms and always ask quesons. Quesons and crical thinking allow us to see the true beauty of mathemacs. And, mathemacs problem-solving leads to life problem-solving!” James Tanton frequently updates his Web site with useful resources for teachers and students. He posts essays and short videos, and lists books that he has wrien, such as Math Acvies for Stu- dents and Clubs (MAA, 2001), The Encyclopedia of Mathemacs (Facts on File, 2005), and Mathe- macs Galore! (MAA, 2012). These resources reveal ways to clarify mathemacal concepts found in the standard curriculum and provide teachers with class- room applicaons. Visit jamestanton.com to view valuable resources and great mathemacal videos that will inspire your own sense of “play and won- der.” Tanton’s essay, What Made Me a Mathemacian (and Why I Ap- proach Mathemacs the Way I do), his love for mathemacs started with pondering about the ceiling les in his childhood bed- room in an old Victorian house. The le design formed a 5x5 grid of squares. He would lay in bed and ask himself, “How many rectangles can I form? How many squares can I form?” He created his own set of puzzles and games with this 5x5 grid. He had an “enlightening moment” when he could not solve a puzzle he created. As a child, he liked to play with shapes, paerns and structures. However, he did not connect this with the mathe- macs of computaonal skills and rote learning taught in schools. It was not unl years later that he realized that what he loved to do was indeed con- sidered mathemacs. His goal now is to bring “play and won- der” to the classroom. As a teacher, Dr. Tanton’s great- est wish is to insll confidence in students - confidence to “flail,” to try something and then try something else; confidence to do something, be wrong and keep going. For example, when first presenng quadrac equaons to students, he cares much more about “students’ epiphanies, trying stuff and problem solving” than the soluons or a memo- rized formula. Dr. Tanton ulmately desires to Crystal Purpura Who is James Tanton? By: Crystal Purpura (T-15) Interested in TIME 2000? For more information, visit TIME2000.qc.cuny.edu If you are interested in writing for this newsletter, contact Timothy: [email protected] Crystal: [email protected]
Transcript

James Tanton, a visiting scholar of the Mathematical Association of America (MAA), will deliver the key-note address at the annual TIME 2000 event, Celebrating Mathe-matics Teaching, at Queens College on November 22, 2013. Dr. Tanton’s goal is to connect the creative math-ematics practiced and explored by mathematicians to the mathematics learned by students. His credentials in the fields of mathematics and education are numerous, including B.S. degrees in Mathematics and Mathematical Physics from the Uni-versity of Adelaide (Australia) and an M.A. and Ph. D. in Mathematics from Princeton University (USA). As a result of his academic achievements and teaching excellence, Dr. Tanton received several awards including the MathMovesU Math Hero Award and the Princeton University Engineering Council Teaching Award. Dr. Tanton became a mathematician because he always loved “pondering about mathematics” as well as shar-ing his mathematical thoughts with others. He became a mathematics teacher because he consulted with mathematics teachers and wanted to learn about the demands and life of a high school teacher. According to Dr.

Congratulations to:

Marche Mason

(T-15), Lu Li (T-

15), Nancy

Strbik (T-14) on

receiving Presi-

dential Achieve-

ment Honor Roll

Awards on No-

vember 14, 2013

Wen Yu (Sara)

Tsui (T-3) on the

birth of her

daughter Eliza-

beth on July 23,

2013

Luwen Zhang (T

-11) on her wed-

ding on August

18, 2013

Nerline Hyppo-

lite (T-13) on her

engagement

T I M E 2 0 0 0

Volume 12, Issue 1

November 2013

Editors-in-Chief: Nicole Turato (T-13) Timothy Ho (T-15) Crystal Purpura (T-15)

Advisor: Naomi Weinman

T I M E 2 0 0 0 N e w s l e t t e r

make the learning and teaching of mathematics more enjoyable. He stresses the importance of giving students interesting problems and encouraging them to use “common sense and wit” to find ways to solve the problems. Due to today’s focus on testing, this is a great challenge. According to Tanton, “intellectual play” is the key for future mathematics teach-ers to share their love for mathe-matics with their students. “Be full of play and wonder,” he advis-es. “Be playful with words and terms and always ask questions. Questions and critical thinking allow us to see the true beauty of mathematics. And, mathematics problem-solving leads to life problem-solving!” James Tanton frequently updates his Web site with useful resources for teachers and students. He posts essays and short videos, and lists books that he has written, such as Math Activities for Stu-dents and Clubs (MAA, 2001), The Encyclopedia of Mathematics (Facts on File, 2005), and Mathe-matics Galore! (MAA, 2012). These resources reveal ways to clarify mathematical concepts found in the standard curriculum and provide teachers with class-room applications. Visit jamestanton.com to view valuable resources and great mathematical videos that will inspire your own sense of “play and won-der.”

Tanton’s essay, What Made Me a Mathematician (and Why I Ap-proach Mathematics the Way I do), his love for mathematics started with pondering about the ceiling tiles in his childhood bed-room in an old Victorian house. The tile design formed a 5x5 grid of squares. He would lay in bed and ask himself, “How many rectangles can I form? How many squares can I form?” He created his own set of puzzles and games with this 5x5 grid. He had an “enlightening moment” when he could not solve a puzzle he created. As a child, he liked to play with shapes, patterns and structures. However, he did not connect this with the mathe-matics of computational skills and rote learning taught in schools. It was not until years later that he realized that what he loved to do was indeed con-sidered mathematics. His goal now is to bring “play and won-der” to the classroom. As a teacher, Dr. Tanton’s great-est wish is to instill confidence in students - confidence to “flail,” to try something and then try something else; confidence to do something, be wrong and keep going. For example, when first presenting quadratic equations to students, he cares much more about “students’ epiphanies, trying stuff and problem solving” than the solutions or a memo-rized formula. Dr. Tanton ultimately desires to

Crystal Purpura

Who is James Tanton? By: Crystal Purpura (T-15)

Interested in

TIME 2000?

For more

information, visit

TIME2000.qc.cuny.edu

If you are interested in writing for this newsletter, contact

Timothy: [email protected]

Crystal: [email protected]

2

At a fall 2012 TIME 2000 seminar, journal questions were assigned to the freshmen. Question 4 stated, “Describe any other thoughts and feelings you would like to share about the TIME 2000 program that you did not mention above. What things would you like us to be sure to do this year? Please let us know any questions or concerns you may have.” Immediately, I knew that I had an opportunity to pitch an idea from a wonder-ful experience I had in high school.

I responded to the question by saying, “The only thing that would be interesting to see if TIME 2000 can do is have the whole program participate in a field day event or a barbeque at the end of spring semester.” Dr. Artzt posi-tively responded to my idea by saying, “I love your idea of a field day event. I have been trying to get a thing like this going for years, but haven’t been able to. We do have a talent show in the spring, but I think a field day event would be much better. We could have the different TIME 2000 cohorts compete. It could be a blast. But, we need the right peo-

porate math into it. The same week that all this was going through my mind, an act of fate occurred. I was sitting in my calculus class waiting anxiously to get started, when my teacher told us she had an announce-ment. She told us that there was going to be a conference the following week for people who were interested in becoming secondary education math teachers. She passed around a sheet for anyone who was interested in going and I was too ignorant to realize that this is what I wanted to do, so I didn’t sign up to attend the conference. My teacher saw the doubt on my face and signed me up anyway and to this day I am so thankful to her! November 18, 2011, was the day that my life changed forever. By attending the TIME 2000 conference, I knew that this is where I be-longed and teaching math is what I wanted to do. Words cannot describe how happy and thankful I am to be a part of TIME 2000. It is because of this program that I was able to meet such extraordinary people who I can call my family, a family that shares the same goals. Being someone who loves to experience new things, I wanted to have a summer internship. As a member of TIME 2000, this became a real possibility. No matter how hard and far you look, you won’t find a better support system than the one in Hortense Powdermak-er Hall, room 002. When I told Mrs. Weinman I wanted to have an internship she was sup-portive and directed me to a TIME 2000 grad-uate, Tara Wachter (T-1). Tara constantly looked for internships for me and was a big help. She emailed me as soon as she heard about a Cyberchase internship and asked me to apply. I was so excited to apply for an in-ternship for my favorite childhood show! I didn’t expect to get it, but when I did, I was speechless and ecstatic! As a third grader, I would have never imagined that I was going to be interning for my favorite TV show as a student at Queens College. Interning with Cyberchase was one of the most thrilling learning experiences of my life. I traveled to Manhattan three days a week to

Chasing Cyberchase Every day, I ran home from elementary school with my cool Sketchers that lit up when my feet touched the ground. As soon as I entered my house, I would rip my bright pink backpack off my shoulders, sit on my living room floor and

turn on the TV. You’re probably thinking I could only be this excited to watch Power-Rangers or Arthur, but you aren’t close! The show that made me forget about my hunger and my piles and piles of homework, as a third grader, was Cyberchase! Ever since I was a little girl, Cyberchase was my absolute favorite show. At the time, I couldn’t explain why it was so amusing to me, but as I grew older I began to realize why I loved Cyber-chase so much. Cyberchase is a show on PBS about a group of three kids and a bird who use mathe-matics to solve problems in their everyday lives. They use proportions, fractions, multi-plication, addition, and other mathematical concepts to fight against their arch enemy, The Hacker, to save the day! I didn’t know it at the time but the reason why I was such an avid fan of the show was because it made math so much fun! As I grew up, I was always one of those kids who wanted to be a part of everything, who wanted to go above and beyond and experi-ence as many things as possible. In high school I was a member of at least ten clubs, from Future Business Leaders of America (FBLA), to Invisible Children, which was an organization that raised money for child soldiers in Africa. I wanted to explore my options because I had no idea what I wanted to be. One day during senior year, I sat down and really thought about what I loved most. I narrowed it down to two things: helping people and mathematics. I wasn’t quite sure what I wanted to do in life, I just knew I wanted to help people and somehow incor-

work from 10 a.m to 6 p.m. I watched all the episodes of the new season which aren’t even out yet! I had the opportunity to test many cool games and give my opinions about them. During my time as an intern, Cyberchase was working on augmented reality games as well as hands-on games that teachers could use in their class-rooms. I learned about the animation process and the incorporation of mathematical concepts into the games. I learned about the scaffolding process and how kids need guidance to learn. I worked on a project to remake elementary school games into middle school games. I gave my input on the games and wrote analyses of mathematical lessons behind each game. My heart dropped when the head of the educational department at WNET sent me a special thank you for my input. He said “it clicked” when I ex-plained my perspectives and opinions. I learned so much and I was able to reestablish why I loved math so much. My internship was truly an amazing experience and I have no one to thank but my TIME family. College isn’t easy and the TIME 2000 courses can be difficult. By the end of Calculus II, I was ques-tioning if I was good at math or if I even liked it anymore. Interning with Cyberchase helped me remember why I love mathematics. Helping the Cyberchase team develop lesson plans for high poverty neighborhoods and games for teachers to play with their classes reminded me why I chose this path. Although TIME 2000 is a rigorous program, it has been rewarding for me because I know I will become an effective teacher. This article was supposed to be about my experi-ence interning with Cyberchase, but the truth is I owe it all to my TIME 2000 family. I can’t talk about my Cyberchase internship without men-tioning TIME 2000 because I would never have been able to have such an amazing opportunity without the program. And so today, I want to thank every single one of the TIME 2000 mem-bers. I want to thank my cohort for being the best friends and family a person could ever ask for, the cohorts ahead of us for being our role models, and the staff for being the best support system there is to offer.

ple to get it going. Would you be interested?” After reading Dr. Artzt’s response, I was excited to actually make this field day event happen. As spring semester started, I thought that Dr. Artzt and Mrs. Weinman had forgotten about field day, so I didn’t bother to mention anything to them because I figured they had more important things to attend to. The lingering idea of field day kept crossing my mind,

Field Day

By: Mahrukh Paracha (T-15)

By: Timothy Ho (T-15)

(Continued on page 3)

Mahrukh Paracha

Timothy Ho

3

-The hallways are lined with desks because, after club activities, the students tend to sit in the hallways and study.

-Students attend school through the summer except for a two-week break.

-In mathematics lessons, on the board, both Japanese characters and English letters are used.

-Instead of True and False they write X and O, respectively.

On Halloween 2013, 22 students, two teachers, and the principal from Nishio High School made a reciprocal visit to East-West. They spent Thursday and Friday shadowing our students and stayed with host families from our school for the weekend. The experience of cultural exchange was eye-opening for our students and staff. I was touched by how the American and Japanese students reacted to one another; it was amazing. The visitors from our sister school were excited to see that East-West has adopted their “service learning” idea since our visit to Japan. Our students are now assigned by advisory to maintain our school’s grounds during the beginning of their lunch period, as-signing them the responsibility of giving back to our school community. During this reciprocal visit, several Japanese students attended my calculus class. To my amazement, they were able to follow my lesson on higher-order derivatives, even though their English is very basic, con-firming my belief that math-ematics is a universal lan-guage. Languages change by region, but numbers and symbols are forever con-stant. It is rare and special to witness firsthand the beauty of mathematics as a uniting force.

following along with the lesson. The teacher was speaking Japanese but I was able to follow the lesson from the board work pictured:

Do you know what was being taught? Although I was initially confused by the X’s and O’s, from “P(♥)” I realized that this was a lesson on binomial probability involving a deck of cards and that “1-¼” indicated that the comple-ment of P(♥) was being discussed. Notice both English and Japanese characters in the board work. Although there were similarities between my NYC school and the Japanese school, it was the differences that struck me: -High school in Japan is three grades only. A

ninth grader in Japan is called a “first grader.” -There is no use of calculators throughout the

high school curriculum. -All students wear uniforms every day. -Each class has about 40 students. They sit in

rows and are quiet while the teacher teaches the material. Students rarely ask questions and the teacher rarely calls on students. (In the English classes there is talking/ activities)

-There are no janitors; students have “service learning” where they are each assigned a chore that they complete during their lunch period before eating. Students mop, clean windows, empty trash, etc., and all participate in this together.

-Their clubs are like varsity sports/ activities. Each student participates in a club activity for the afternoon.

By: Mara Markinson (T-11) East Meets West

day in and day out, as June crept up. I was really hoping that they didn’t forget about field day because as I became more involved with TIME 2000, I grew anxious to meet the upperclassmen. Thankfully, at a spring semi-nar, I read the agenda and came across “Field Day” listed towards the top. I was surprised that TIME 2000 was still interested in hosting a field day event. They announced that interested students should remain after the seminar to plan the event. I stayed and was astounded by the outcome. At least thirty students, ranging from fresh-men to juniors attended the meeting (the seniors were student teaching so were not in attendance). We discussed events, activi-ties, and items that we needed for field day

such as refreshments, judges, sports equip-ment and prizes. When I received an email after the meeting, I was excited to be a coordi-nator for field day along with Jeanette Kimyagarov. It was a humbling experience to oversee this process throughout the weeks leading up to field day. I could not have been any happier as I began to see our plans come together. We held a small meeting two weeks before the event. Volun-teers came prepared with progress reports. By seeing everyone actively participate during this meeting, I knew that field day was going to be a success. June 5th, the day scheduled for Field Day, ap-proached faster than I expected. Thankfully, it was sunny and there was no chance of rain. This meant that TIME 2000 was going to have its first official field day outdoors. Everyone

This past June, I completed my first year of teaching at the East-West School of Interna-tional Studies in Flushing, New York. East-West is a small grade 6-12 school with an international focus. On the wall of my class-room hangs a sign that reads, “Math is the language of the universe.” As a mathematics enthusiast, I have always appreciated this quote, but it wasn’t until this past summer that I truly understood its meaning. Each year, East-West sends groups of students to Asia on study abroad trips. This summer I was chosen to travel with my principal, one other teacher, and twenty-two high school students to Japan. During our eleven day tour of Japan, we spent a full day at our sister school, Nishio High School, in Aichi Prefecture. From the moment I stepped off the airplane in Tokyo, I realized that I was unable to com-municate verbally with the Japanese people. I was thankful for our English-speaking tour guide, but frustrated that I could not com-municate on my own. I could not even ask simple questions; all I could say was “hello” and “goodbye.” The people in Japan were very friendly and they tried their hardest to help me, but I still struggled to understand what they were saying. For the first time, I understood how my beginner ESL students feel on a daily basis. On the day we visited Nishio High School, I learned so much about the Japanese school system and sense of community in Japanese schools. I was given the opportunity to ob-serve classes of my choice. Of course, I picked the math classes. I was so excited (and so curious) to see if I would be able to follow along even though the math was be-ing taught in a different language. Within minutes of entering the first classroom, I was

showed up ready to compete and have fun. Watching everyone come together for some-thing other than schoolwork was awesome to witness because this is what I envisioned. Field Day gave each of us an opportunity to meet new people, share some great memories, and, for once, just run around and not worry about grades. Originally, we envisioned that the teams would be separated by cohort but we decided to mix the cohorts and create four heterogeneous teams. This was a great deci-sion because it allowed us to get to know peo-ple from other cohorts and make new friends. I’m looking forward to having the freshmen join us at our second annual TIME 2000 Field Day in June, 2014!

Field Day (continued from page 2)

Mara Markinson

4


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