All about math department projects and events.

US Mathematics Students of the Trimester – Spring 2019

I am excited to announce the Upper School Mathematics Students of the Trimester – Spring 2019!

Each math faculty member was free to choose whichever student of theirs they thought best exemplified what they are looking for in a model mathematics student. The official description of the award is as follows:

“Awarded to students who exemplify the math department’s core values of competence, confidence, and perseverance while helping their peers realize the relevance and importance of an exceptional mathematical education both for its beauty and for its practical application.”

The following students have been recognized as the Upper School Mathematics Students of the Trimester for Spring 2019.

Please join me in congratulating these outstanding mathematics students!

Jason Albanese – Jason pushed through some significant challenges this year and ended up not missing a beat on his progression through the class. His deeply humble and genuinely cheerful nature, as well as his deep sense of empathy, make him into a group work driver. He has fun with challenges and adores ushering his peers through complex topics. Even as we faced harder material in the land of Integrals, Jason kept on leaning in, repeatedly proving he is a creative and talented problem solver.
Katherine Borden – Katie has been a very steady and diligent math student all year long. She comes to class always ready to work and to contribute her thoughts and ideas. She learns new material quickly and is able to retain old concepts well. In class, she helps other students understand the concepts better by volunteering to lend her insights into the material.
Caroline DiFiore – Caroline worked hard right through the final project. She was determined to do her best work – getting extra help from me, friends, other teachers, and the math resource center.
Lily Harris – Lily showed initiative, enthusiasm, and drive during her work in AP CSP. Her progress in our final unit on Python was especially impressive! She brings a natural curiosity and interest in programming that will drive her success as she continues to pursue it.
Molly Kinstle – Molly sailed through this course and assembled the many pieces of Java classes and their interaction with ease. She was always engaged and participated thoughtfully at every point. Her understanding of how the topics covered in this course will serve as a solid foundation in future classes.
Jerry Landman – Jerry brought a high level of insight into each class. Whether it was asking a question or volunteering an answer, Jerry challenged his classmates to think about the material at a deeper level.
Na Kyung Lee – Na consistently distinguished herself among the top students in terms of understanding of the material of precalculus. Not only did she perform outstandingly on assessments, but her ability to work collaboratively with other students became more refined as the year has progressed. I am fully confident that Na will take the foundation she has built this year to reach new heights in any mathematical endeavor she will face in the next academic year. For the reasons stated above I am honored to nominate Na as my math student of the trimester for Spring 2019.
Keyu Lu – Keyu is obviously exceptionally talented in mathematics, but she always supplements that natural ability with incredible diligence and perseverance. I so enjoyed working with her one-on-one this year.
Tucker Motyka – Tucker completed a wonderful third trimester with a strong T3 assessment and an outstanding circles test in Geometry. Tucker thrived on the most difficult work of the year by tying previously learned concepts with challenging new material. His work was organized and he was able to articulate how to attack a multifaceted problem during class discussions. He demonstrated poise, confidence and comprehension throughout the trimester as a class leader in discussions and in his written work. Congratulations, Tucker!
Noe Perry-Greene – Noe contributes in so many ways to our geometry discussions. She shows organized work from which she insightfully explains her problem solving method. She is comfortable taking feedback about her approaches and is able to allow organic discussions to take place. She additionally is able to evaluate the methods her peers use and she works towards efficient methods. Finally, Noe is able to mix fun into the classroom that does not detract from the learning process.
Connor Touhey – Connor was an excellent student and classmate throughout the year. His performance on assessments was always strong and he was diligent in homework every night. Connor was thoroughly engaged in class, always paying full attention and processing new material carefully.
Abby Vassallo – Abby is an incredibly hard worker. She puts in so much effort in and out of the classroom, which leads to her success. She is the epitome of hard work pays off.

Past students of the trimester can be found right here: Fall 2013, Winter 2014, Spring 2014, Fall 2014, Winter 2015, Spring 2015, Fall 2015, Winter 2016, Spring 2016, Fall 2016, Winter 2017, Spring 2017, Fall 2017, Winter 2018Spring 2018, Fall 2018, Winter 2019

US Mathematics Students of the Trimester – Winter 2019

I am excited to announce the Upper School Mathematics Students of the Trimester – Winter 2019!

Each math faculty member was free to choose whichever student of theirs they thought best exemplified what they are looking for in a model mathematics student. The official description of the award is as follows:

“Awarded to students who exemplify the math department’s core values of competence, confidence, and perseverance while helping their peers realize the relevance and importance of an exceptional mathematical education both for its beauty and for its practical application.”

The following students have been recognized as the Upper School Mathematics Students of the Trimester for Winter 2019.

Please join me in congratulating these outstanding mathematics students!

Anaya Akpalu – Anaya has had a wonderful second trimester in Algebra II. From the moment we began factoring, Anaya thrived. She easily recognized and mastered a variety of factoring types and she applied her factoring skills with confidence on the most challenging problems. Her class participation is excellent, her focus unwavering and she articulates her thoughts in a positive and constructive manner during group work. Anaya sets high goals for herself as a student and her determination to be her best is contagious. Congratulations, Anaya!
Kira Bixby – Kira is a hard-working student who brings an open mind and willingness to learn to every class. She has consistently performed exceptionally in every type of assessment and actively participates during class activities. I was particularly impressed with the work of Kira’s group on the cereal and town profile projects during the winter trimester, both of which helped to set the bar for the rest of the class. For the reasons above, I am proud to nominate Kira as my math student of the trimester for Winter 2018-19.
Ethan Bradway – Ethan constantly pushed the boundaries of what we covered. Not only did he develop rich solutions to problems but he brought new material (very relevant but not covered in the class) to whatever he was doing. This spilled over into the class and brought new ideas for others to appreciate. Ethan was an excellent contributor to class and more than willing to help classmates on the work.
Rachel Burke – Rachel works hard and makes the class better. She has an unflappably calm demeanor and constantly has fun with math, two things that her peers notice and gravitate towards. She is patient and kind with her peers, and frequently is the first to ask questions in small groups and during full class discussions. She leads small groups well and also has no trouble stepping back and easily supporting those around her. She’s an excellent teacher and student.
Liam Coughlin – Liam is an incredibly hard worker. He always is asking leading questions and trying to find the connections between topics.
Avi Falk – Avi is a great example of a curious, eager learner who wants to understand everything. He is never satisfied with simply an answer, seeking the details and subtleties of a problem or situation. Avi puts his best effort into every piece of work.
Kyle Grabowski – Kyle has been a consistently strong and hard working student throughout the year. He has the ability to learn new material quickly and well. His humble and modest demeanor sometimes masks his important contributions to the class room. He is simply a model mathematics student.
Alex Marwaha – Alex shows enthusiasm and interest for the topics in AP Computer Science Principles and has dedicated himself to producing excellent work in all aspects of the class. He participates thoughtfully and truly enhances the discourse in class.
Trang Phan – Trang did consistent outstanding work this trimester, improving on her very good work in the fall. Her project at the end of the trimester was particularly well done. She worked hard both in class and on her homework to reach a solid understanding of the material we covered in Calculus. I look forward to working with her in the spring!
Taryn Queenin – Taryn is a great math student, but she always supplements her ability with incredibly diligent preparation. I can always count on her to be completely prepared for class, and she seeks out help as soon as she does not fully understand a concept. She’s also just a truly nice person to have in class – always considerate and quick to help out.
Christina Vote – Christina is a dedicated student who goes the extra mile to fully understand each concept. She strives for excellence every day and is willing to work hard to achieve her goals. Her questions and dedication to the class brings her classmates to a higher level.
Glede Wang – Glede has been so focused on the details all year. She is able to incorporate not only the correct mathematical equations but also the writing and analysis that goes along with learning statistics. She is curious, seeking out answers to her questions. In class, she facilitate discussions combining old techniques with new ones. In short, she is a rock star who has continued to impress me with her persistence and drive in the course.

Past students of the trimester can be found right here: Fall 2013, Winter 2014, Spring 2014, Fall 2014, Winter 2015, Spring 2015, Fall 2015, Winter 2016, Spring 2016, Fall 2016, Winter 2017, Spring 2017, Fall 2017, Winter 2018Spring 2018, Fall 2018

2019 AP Calculus BC Free Response Questions & Answers!

Screen Shot 2016-05-13 at 11.36.37 AMA few days after each AP Calculus BC exam, the College Board releases the free response questions from the exam. They don’t release their very succinct answer keys for a few more weeks… so… I had my students make their own answer keys as well as screen recordings of their solutions!

Official 2019 answer keys will eventually go online right here, along with the ones from past years that have already been posted.

You can view the 2019 AP Calculus BC Free Response Questions right here.

All of the 2019 answer keys that my students created can be viewed right here.

All of their 2019 video solutions can be viewed right here.

You can check out this project from past years here (2018)here (2017), and here (2016).

Many more Williston student screencasts can be found online right here.

US Mathematics Students of the Trimester – Fall 2018

I am excited to announce the Upper School Mathematics Students of the Trimester – Fall 2018!

Each math faculty member was free to choose whichever student of theirs they thought best exemplified what they are looking for in a model mathematics student. The official description of the award is as follows:

“Awarded to students who exemplify the math department’s core values of competence, confidence, and perseverance while helping their peers realize the relevance and importance of an exceptional mathematical education both for its beauty and for its practical application.”

The following students have been recognized as the Upper School Mathematics Students of the Trimester for Fall 2018.

Please join me in congratulating these outstanding mathematics students!

Graham Allardyce – Graham has enthusiastically leaned in to every aspect of class. He shows up thoroughly prepared, actively asks me questions, and most importantly helps his peers. His work shows deep understanding and it’s clear he works hard to make sure he dominates everything we cover. He is a fantastic student and person.
Melissa Baseman – Melissa is picking up English incredibly quickly, but last September she did not know many of our mathematical terms and definitions so she had to learn their mathematical meanings as well as their English meanings all at the same time. She worked tirelessly to master the material, often scheduling extra help with me to review concepts. Her understanding seemed to get better and better over the course of the fall, and she is now a frequent contributor to class discussion.
Caroline Forman – Caroline has made a commitment to being her absolute best as a math student. Always engaged in class, Caroline leads her class by volunteering often and asking insightful questions. She has performed at the highest level on tests and quizzes demonstrating the ability to problem solve and work with accuracy. Caroline has earned this honor with hard work, a positive attitude and relentless determination.
Kate Holmes – Kate was a dedicated student and curious programmer who went above and beyond in App Programming class. She began as a novice programmer but kept pace with some of our most experienced classmates. She also incorporated creative and difficult designs in her Apps and embraced the challenges these designs presented.
Ethan Huang – He had to do more individual work than others to get in the class; thus, he was better prepared and subsequently performed well at the tests as well assignments. On top of that he helped many of his peers as and when sought his knowledge/words.
Avi Kacker – Avi came to class every day fully prepared to engage in the topics at hand. He approach every topic with diligence and care. Avi pushed and challenged himself and his classmates daily for perfection.
Walter Kissane – Walter always adds rich questions and comments to our mathematical discussions. He is always thinking through different possibilities and stretching our thinking. He has adapted well to new mathematical notation and thought processes. Walter comes with an awesome attitude daily!
Aidan McCreary – Aidan has done very well in AP Calculus. He learns material quickly and is able to apply previously learned knowledge well. In class, he is always focused and lending his insights into the material with the rest of the class. He is diligent with his work, and is genuinely interested in learning.
Sofia Michalski – Sofia is an incredibly hard worker. She is always willing to help those around her and when she is confused she is quick to ask clarifying questions. She works hard in and out of the classroom to master the material.
Nikhil Sierros – Nikhil consistently produced exemplary work throughout the fall trimester which displayed both correctness and understanding of the material. In addition to his classwork, Nikhil is always willing to join the classroom conversation whether it be math related or just casual conversation before the start of class. Arguably, Nikhil’s strongest trait is his ability to befriend and welcome anyone in the classroom, helping ease the transition for some of the new students to Williston in our class. For the reasons above, I am proud to nominate Nikhil as my math student of the trimester for Fall 2018.
Brooke Smith – Brooke is an amazingly diligent worker who constantly strives to do her best. She dives into processes to make sure she understands every step and that she is able to recreate those processes independently. She is engaged in class, asking questions herself while supporting others with questions of their own. She is a great role model to show that hard work and patience can pay off! 
James White – I am happy to award the math student of the trimester to James for his consistent hard work, class involvement, and level of accomplishment in the fall trimester. He asks great questions to enhance his understanding and jumps in to help his classmates. I look forward to his continued great work for the rest of the year.

Past students of the trimester can be found right here: Fall 2013, Winter 2014, Spring 2014, Fall 2014, Winter 2015, Spring 2015, Fall 2015, Winter 2016, Spring 2016, Fall 2016, Winter 2017, Spring 2017, Fall 2017, Winter 2018Spring 2018

US Mathematics Students of the Trimester – Spring 2018

I am excited to announce the Upper School Mathematics Students of the Trimester – Spring 2018!

Each math faculty member was free to choose whichever student of theirs they thought best exemplified what they are looking for in a model mathematics student. The official description of the award is as follows:

“Awarded to students who exemplify the math department’s core values of competence, confidence, and perseverance while helping their peers realize the relevance and importance of an exceptional mathematical education both for its beauty and for its practical application.”

The following students have been recognized as the Upper School Mathematics Students of the Trimester for Spring 2018.

Please join me in congratulating these outstanding mathematics students!

Brie Banas – Brie has been a consistently strong leader in the class. She never hesitates to share her ideas with her classmates. Brie has never backed down from any challenging problems and pushes others to keep up with her.
Rider Bishop – Rider did outstanding work in Java this term. His curiosity, dedication, and skill are inspirational. During our final project, Rider and his partner collaborated seamlessly to attack the most challenging aspects of the project with speed and accuracy. Rider has also offered to share his talents as a peer tutor to support the efforts of other coders, a testament to his unselfish and helpful nature!
Gabby Dicomitis – Gabby made remarkable progress over the course of the year, finishing particularly well. She came to class excited and ready to do her best every day. The course challenged her and she embraced the challenge!
Ji Soo Hwang – As a freshman, Ji Soo was a very dedicated and hard working math student. She picked up difficult concepts quite quickly. Ji Soo was always a pleasure to work with in class.
Sophie Little – Sophie is incredibly thorough and thoughtful in her work. She demonstrates a remarkable persistence in her problem-solving and frequently comes to class with a list of prepared questions from the homework. This Spring, students worked on an open-ended data analysis project. Sophie chose to study the patterns in HIV and wealth in countries of the World. She was able to find some interesting associations between her variables and put together an insightful report that was sophisticated yet clear and easy to read. I appreciated her accurate use of statistical methodology and the depth of her analysis. Great work, Sophie!
Alex Marwaha – He brought in his extra knowledge from Physics and Robotics competition experiences into the classroom, completed his work at an exemplary level and then made himself available to his peers by helping them debug their work and bringing them to successful completions. He epitomizes the adage, “Show your mastery of skills by making others do it.”
Joey Nolte – Joey steadily improved over the course of the year in Algebra 2. His attention to detail in T3 was excellent and he grade rose over each trimester, eventually to a high A. His participation in class increased as well as he grew in confidence with his communication skills and his math skills.
Yana Pyryalina – Yana works. Hard. I am a huge fan of her tenacity. BC/Multi is a particularly challenging class, especially as the course develops, and Yana always leaned in to everything we covered. I expect my students to advocate for themselves and Yana smoothly did just that all year, diving into extra help sessions with a singular purpose as well as happily working in small groups. She was a fantastic role model for her classmates. Well done Yana!
Shanet Ramirez – Sahnet has had a remarkable year in Algebra II. She is actively engaged in all aspects of class and she leads her classmates in terms of participation. Everyone in room 24 has learned from Sahnet. Always ready to volunteer an answer or demonstrate her work at the board, Sahnet is a relentless student of algebra. She enjoys bringing multiple concepts together in a problem and she can articulate how she completes a question with confidence. Congratulations Sahnet!
Sabrina Shao – Sabrina has been a strong participant in class all year. She has a strong understanding of the content but also is willing to share her knowledge with the class. She has been seen day in and day out working with classmates through a problem and helping them see her organized thought processes. She doesn’t mind being challenged by the tougher problems and learns even the small details in completing a problem. The positive attitude that she brings each day helps make the class run smoothly.
Tayah Sommer – Tayah came to class everyday ready to learn. She worked incredibly hard out of the classroom to maintain a strong understanding of the material. Tayah has a great spirit and her classmates love working with her.
Steven Wang – Steven is an extraordinary mathematician – a truly gifted scholar. There was little if anything I was able to teach him this year – he already knew all of college level discrete mathematics. That said, he was an unbelievably strong student, missing fewer than five points the entire term on all assignments combined. It was also wonderful to see Steven’s humor start to emerge over the course of the year; he can definitely laugh at himself. I will remember teaching Steven for a long time.

Past students of the trimester can be found right here: Fall 2013, Winter 2014, Spring 2014, Fall 2014, Winter 2015, Spring 2015, Fall 2015, Winter 2016, Spring 2016, Fall 2016, Winter 2017, Spring 2017, Fall 2017, Winter 2018

2018 AP Calculus BC Free Response Questions & Answers!

Screen Shot 2016-05-13 at 11.36.37 AMA few days after each AP Calculus BC exam, the College Board releases the free response questions from the exam. They don’t release their very succinct answer keys for a few more weeks… so… I had my students make their own answer keys as well as screen recordings of their solutions!

Official 2018 answer keys will eventually go online right here, along with the ones from past years that have already been posted.

Here are the answer keys and videos that my students created:

You can check out this project from past years here (2017) and here (2016).

Many more Williston student screencasts can be found online right here.

All about math department projects and events.