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Awesome things from 2018


My Harvard-MIT Mathematics Tournament Experience

The Harvard-MIT Mathematics Tournament (HMMT) is a high school competition that is held in Cambridge, MA and the competition location typically alternates between Harvard University in November and MIT in February. This tournament attracts many top students in mathematics from everywhere. Like PUMaC, HMMT is also organized by student volunteers who are currently attending Harvard and MIT.

I never participated in the November contest but got a chance to participate in the February one. The differences between the two are listed here. November one can have 6 students and the February one can have 8 students in one team. I have to admit that this is not an easy contest and so guidelines of knowing your level and participating in the right one is important. For example, if you can do first few problems of AIME comfortably, then participate in the November one where as if you can do later AIME problems and AMO problems, then participate in the February one.

Overall, I was exhausted at the end of the day after doing many hours of math. We started in the morning with the Team (Proof based) round first then you get 3 individual tests for Algebra, Geometry, and Combinatorics which are 50 minutes each. These problems are like harder AIME problems and I was able to solve four in each category. We got a nice lunch break after the individual round and then proceeded to the Guts round. This is a fun round where you can see how your team is doing on a big screen in the MIT Math building. At one point, my team was in the top 15 teams which made me feel very proud. The best way to prepare for this contest is to practice using previous tests which are here. I also really enjoyed practicing with my team a few weeks prior to the test. We met for a few days on the weekends.

Overall, the student volunteers at Harvard and MIT did a wonderful job in organizing the event with close to 1000 high school students on the campus. I also got a chance to visit MIT and sit through their information session.

 

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“Math departments fail too many calculus students….

David Bressoud is a well-known mathematician who is a Professor of Mathematics at Macalester College and a former President of the Mathematical Association of America (MAA).  In this article, he advocates for colleges changing the way they teach calculus. He argues that the current model of instructor-led teaching is outdated and that even the students who pass the introductory courses in calculus are not always prepared for the higher level ones. Dr. Bressoud recommends active engagement in mathematics, which is usually referred to as “active learning.”

NSF funded a $3 million five-year project called SEMINAL, which stands for Student Engagement in Mathematics Through an Institutional Network for Active Learning. 12 public universities are working together on this project to show how active learning can be used in mathematics classes from precalculus through higher forms of calculus.

Even in 2018, I feel that calculus and related courses are seen as tough and gatekeepers for many aspiring students, whether they want to pursue STEM related education or economics and finance. In my high school, performance in calculus courses is critical to advance to the next level and to qualify for honors level courses in subjects like Physics or Computer Science. Even the Wharton @ Penn undergraduate admissions list shows the requirement to “have taken calculus during high school.”

I am fully in agreement with this article, in that we need to revamp how calculus is taught in high schools and colleges. Calculus is not seen as a very inclusive class which discourages many girls and minorities to enroll, with media as well stereotyping calculus students in a negative way. This research report from Dr. Bressoud and others does a nice job of giving a lot of details including this profound statement: “The worst preparation a student heading toward a career in science or engineering could receive is one that rushes toward accumulation of problem-solving abilities in calculus while short-changing the broader preparation needed for success beyond calculus.”

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