What do you like best about this course?:

It introduced LATEX into my proof-writing life, which increased the presentability of my proofs and increased my confidence in pursuing a possible career in mathematics.

My improvements to my writing and problem solving abilities. Now, when writing, I am constantly considering the reader. As I write, I am actively trying to break what I've written. I used to think writing mathematics, understanding the problem, and solving the problem were separate tasks. Chloe has unified them in such a beautiful way for me that writing is becoming one of my favorite things to do. Also, her great hints have given me inspiration for what to do when I am stuck on a problem. Calculate out examples, make expressions look like something you've seen before, etc.

The workshop format

The discussions that workshops create, often very interesting and enjoyable.

Instructor is able to answer everyone's questions, and it encourages learning from everyone

I like how this course is a learning experience. You start out not knowing how to write the best proofs, but by the end of the course you will atleast know how to formally write a proof.

If you were teaching this course, what would you do differently?:

I would do a mini-lecture which refreshes the material covered in the previous week with the class. I would also provide certain hints or direct students to relevant material in order to help them answer the workshop questions.

Maybe add a very short in-class summary of the concepts near the start of class that are relevant to the workshop. Also, the quizzes should be much harder and focus on proof writing rather than fill in the blank, multiple choice, and spotting errors in proofs. The basic concepts that the quizzes currently test could be included in the beginning-of-class summary. The workshop difficulties and lengths vary quite a bit, so the workshop problems given out in class should be more standardized to fix this.

For workshop, I would solve the problems on the board with the students. So they see the necessary steps and then they formally write it up at home. Else the workshop is just a formalized homework.

I would make fewer corrections to workshop papers. The grading was fair but if there are too many corrections, the student can cherry pick some as 'nitpicky.' I've seen the students remember these 'nitpicks' over the extremely important corrections. Removing the right corrections, however, will take extreme care. Having said that, Chloe's grading I believe was the most formative of all aspects of the class when it comes to my writing. With Chloe's drive to improve, she will master this.

I can't think of anything.

Not much, maybe reorganize workshops slightly, by having everyone work on the first problem for 10-15 mins or so, then share ideas, and go through each problem, this would ensure that all the useful things the problems have to offer are ingested by everyone.

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Chloe did an amazing job. I wouldn't do anything different

In what ways, if any, has this course or the instructor encouraged your intellectual growth and progress?:

Chloe is very enthusiastic and she encouraged me to pursue doctoral work in mathematics (which I already wanted to do, but she reassured me that it was the right choice for me). She also went out of her way to help us and one can easily see that she takes great care in making sure she does the right thing for her students.

The instructor was eager to help students understand the material. They made it clear that we should be using LATEX for our proofs, and indirectly prompted us to do so by implementing rewrites that were easy to create using LATEX but would have been tedious to write by hand.

She does a wonderful job of teasing out the right ideas and is clearly enthusiastic about teaching mathematics.

In so many. Chloe's contagious enthusiasm for the subject makes you want to come to class and learn. You can tell she puts everything aside while she is teaching and cares about nothing other than making sure you learn the material. If you make an incorrect claim, she can quickly come up with a counterexample. If you don't understand why something is the case, she can give an intuitive explanation. She is very talented at giving hints to students that are stuck. Chloe clearly lays out the goals of the course so that she and the student can work together to achieve them.

Chloe helps clarify you your thinking on a problem and offers hints so that you can make progress and still learn.

In the way I think about math

The workshops helped improve my mathematical writing ability and helped me improve my knowledge by identifying areas where my knowledge is lacking.

She always encourages the "sauna method" so that you always are doing your own work. She also gave quizzes that kept you up to speed with the material in the class.

Other comments or suggestions::

None. She'll be a great professor.

Really solid performance. From my experience here and with summer courses, grad students tend to be better teachers than professors, interestingly. Grad students also seem more interested in pedagogy than professors, not simply writing proofs that we can look up ourselves for the entire class period.

Rutgers University is lucky to have Chloe.

Chloe is the best mathematics TA I have had yet.

Good stuff, was an enjoyable class!

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Chloe is a great TA!