On August 23rd, the Applied Math Department鈥檚 first-year graduate students were busy learning and preparing for their new TA positions. During the meeting, each new TA presented a previously prepared and practiced five-minute mini-lecture to聽their fellow聽first-year graduate students.聽聽
The topics presented covered trigonometry (how to use SOH CAH TOA, and constructing the Unit Circle), calculus (Delta-Epsilon definition of a limit,聽L鈥橦ospital鈥檚聽Rule, Chain Rule, and the Quotient Rule), and physics (analyzing projectile motion using integrals).聽
Every presenter was given compliments and criticisms from the other first-years about their lecture. Many comments centered on increasing student engagement and focus, how to be comfortable when speaking in front of others, and how to properly interact with students. Other comments emphasized the importance of using different examples, giving thorough聽explanations, and using language that won鈥檛 undermine the confidence of some students (for example, some聽new聽TAs were advised not to say in lecture, 鈥渨e all know that...鈥� as to not make some students feel behind in the class). Another heavily emphasized comment was about making sure the new TAs have good聽board-work. A lot of planning goes into聽organizing聽the lecture and board such聽that all necessary information聽remains聽on the board at聽once,聽while still writing/drawing large enough for everyone to聽see without running out of space. Every mini-lecture was video-taped so the first-years could compliment and criticize their own presentation and see how to fix any other mistakes they may have made.聽
After the meeting, Joe Castagneri, who can be seen above lecturing on the Delta-Epsilon definition of a limit, was interviewed. Castagneri is in his final year of the BS/MS Applied Math program, and this will be his first year as a TA. During the interview, Castagneri聽said he found the meeting very helpful, and jokingly remarked that the best way to prepare for presenting a topic聽and not being nervous during the presentation,聽is by presenting to a room of people聽that know聽exactly what you鈥檙e聽talking about and could easily catch your mistakes. Currently,聽Castagneri聽is working towards his BS/MS in Applied Math with interests in statistics, numerical analysis, and especially in Artificial Intelligence and Machine Learning. He grew up near campus and has been very happy with the decision to pursue his studies at CU Boulder鈥檚 Applied Math Department. If you are attending a calculus 1 or 2 recitation, you might see him there!聽