Joyce's Reflection

1)Why did you choose the concepts you did to create your problem set?

We chose the questions that we each seperately had strengths in understanding and solving. However, it was kind of hard yet entertaining at the same time trying to fit it all into a storyline.

2)How do these problems provide an overview of your best mathematical understanding of what you have learned so far?

Our questions consisted of related rates, integration by parts, Newton's law of cooling, solids of revolution, and optimization. These were some of the hardest concepts to learn out of this whole course but we chose to do them. Out of all the types of things we could've done we used these kinds of questions. That to me shows that we found them easy to do.

3)Did you learn anything from this assignment? Was it educationally valuable to you?

Of course it was educationally valuable to me. It provided me with another form of review for the AP Calculus exam. Questions like our version of the amusement park one were especially helpful for the exam since those types of questions repeatedly make an appearance in the exam every year. Having to conceptually think of the questions also helped to understand the different types of questions on a whole new level. Being able to explain the solutions and putting into words how you get the answer was quite difficult. That being said, I feel like the whole process of finding a great way to present your project is what I don't like about these types of projects.

All in all, I found this DEV a valuable experience. I aged by like 10 years from doing it but anything for math. But yeah the stress I'd get in university compared to this is probably x10 so it's a good taste of whats to come in the future. I just want to say IT'S FINALLY OVER. 10 more mins till midnight ding ding ding.

Jamie's Reflection.

1)Why did you choose the concepts you did to create your problem set?

I believe we came together and distributed questions from different units fairly, based on what each person could handle and based on our strengths. What I liked about this group is that we didn't SPLIT up and handle the questions ourselves, but rather go over them together and share our thoughts and brainstorm. I think this was the whole point of the project, because we sort of act as students and teachers at the same time. Whoever was familiar of the concept usually took charge and taught the group members who weren't as strong, but we also weren't afraid to look at our answers thoroughly and perhaps find different ways on how to answer a question.

I believe the fact that we were prepping for the AP exam also played a big factor on how we chose our questions. We most likely chose challenging questions of diverse topics in calculus and made questions that could possibly show up on an AP exam so that we could practice.

2) How do these problems provide an overview of your best mathematical understanding of what you have learned so far?

Our questions consisted of almost every possible essential unit in calculus. From related rates to integration by parts, Newton's law of cooling, solids of revolution, and optimization. These were some of the hardest concepts that the course provided, but we chose to do them. It's not abuot taking the easy way out. Practice makes perfect. How are we supposed to practice if we don't "face our fear". Because of this practice, I think it deepens our understanding for the topic and that we learned from each other on both how to do these problems elegantly and efficiently. With a lot of time invested, I believe we tried our hardest to fulfill that, and may not have mastered these types of questions completely but know enough about them to recognize their patterns.

3)Did you learn anything from this assignment? Was it educationally valuable to you?

This was our last ever DEV project and honestly I'm so happy it's finally over. We were given countless extensions and I'm quite disappointed in myself because I think I could've done way better.

I feel like the quality of my work isn't as high as I would like it to be but I suppose I'm just too hard on myself. I just feel like I could've done so MUCH more with it given the amount of time we had to finish it. Doing this DEV though forced made me force myself to explore the concepts of calculus to my breaking point.

Being in two groups was really stressful and caused a lot of problems for not only me but my other group members as well. Having to finish one DEV is hard enough let alone finishing two. The experience did teach me a thing or two that wasn't math related. I really did learn to work in cooperation with my group members and the value of responsibility. It was my sense of responsibility that made me not want to give up on all the work for my two DEV's. I didn't want to let my group members down.

Kristina's Reflection

Why did you choose the concepts you did to create your problem set?

The concepts we chose were actually quite easy to pick since we knew exactly what we had problems with throughout the course. There was always that ONE type of question in each unit that shouted DEV! Specifically speaking, related rates and optimization. Those were the first absolute must choices we had to have a problem for. I'm sure the other groups also chose these two types since we all seemed to have major problems with them.

As for the other questions we chose, they also followed the line of the must have DEV question. You see, we wanted to make sure that we were completely ready for the AP exam, so we decided to choose questions that were most likely going to be on there. Of course, one of them being the infamous amusement park question that Mr. K had forewarned us about. Another one being the revolving question which always seemed to be the first question in the long answer part of the exam, although it wasn't on this year's.

The last two questions we chose were more on the "filler" side though. Since the four I've stated were the main ones that we wanted to get our hands on. So, in the end, we chose a parts question and a Newton's Law of Cooling. Both being pretty fun on my end.

How do these problems provide an overview of your best mathematical understanding of what you have learned so far?

They provide an overview of my understanding because the questions themselves were based on the word problem type questions that popped up every now and then in class. Word problems have always proved to be quite tough for me since I take a really long time to absorb what is actually going in the question. There are also times when I misread the question due to my dislike for them and then screw up the whole process, which has indeed happened in class, leading to me hitting myself in the face (Although mostly mentally, hehe).

These problems also help to show how much I've learned through the year since I was pretty iffy with most of these stuff right at the beginning. Doing DEV questions on them actually proved to be a handy dandy review and I think it really helped on the exam as well. It was also nice to do some related rates since I remember on the test we had for that unit didn't have one even though I was so prepared for it.

Did you learn anything from this assignment? Was it educationally valuable to you?

If I didn't learn anything, then I shouldn't be taking AP Calculus at all. Not learning anything through DEV is an absolutely ridiculous notion since there are a ton of a stuff to do depending on what theme and such you've chosen. There's also the time management aspect and group work skills (unless you worked alone) to take note of. Doing this assignment has taught me a lot, especially in time management and group work. I do admit that we should've scheduled way differently for this assignment since we didn't seriously take into account the amount of time studying for the exams and doing career internship stuff, along with various projects and assignments from other classes. Everything just got jumbled up into one month and it was a disaster, which led to the two extensions we all got. Although I will admit that whenever I think of May, I'll always remember the hell we went through this year XD.

Aside from time management, the calculus in itself was valuable. Like I said before, it was very helpful for exam prep. The group aspect was also valuable and I learned that communication is key when doing these types of assignments. After all, its a disaster if you don't communicate with each other.