This artifact is from Quiz #3 (question 2), based on Week Three topics (and weeks prior) but taken on Tuesday of Week Four. Question 2 was a counting methods and probability problem with parts a, b, c, and d.
My work and my line of thinking when it comes to solving this problem, I think, is a great example of a disequilibrium. At this point in the term, I felt fairly confident in my ability to use counting methods to find probabilities, I had gone through the learning curves and struggles on previous quizzes and assignments, and I felt I was a place of understanding. This view was shattered when I got to question 2 of this quiz. I remember reading through all the parts to this problem, and immediately felt a pit in my stomach, I felt so lost. I initially decided to skip it and try my best on all of the other questions and come back to that one, hoping I might think of anything that might help me solve this problem. Well, when I circled back around, I hadn't thought of anything, so I decided my best option at that point was to just try something and that is what I did. However, in the process of doing that I confused myself even more, as you can see from my arrows and cross outs. I could not for the life of me figure out how to solve this problem, and as you can see from Erin's feedback, my strategy of just trying something didn't work out too well.
I still feel like I have a ways to go before I would consider myself proficient in counting methods and probability, but I do feel like I am still learning. I don't feel like I am at a complete standstill, which is encouraging, but I definitely am still making progress with each wrong attempt.
Disequilibrium is a very frustrating feeling because, prior to this quiz, I had left like I had finally, after lots of practice, gotten to a place of proficiency when it came to using counting methods to find probabilities. However, I do think that the feeling of confusion, as frustrating as it can be, is essential to mastering a skill. You can't learn anything if you don't make mistakes to learn from, and I tried to remind myself of this throughout our unit on counting methods and probability.