Problem Statement
For this problem we had to look at a series of shapes that could mimic numbers. We were all faced with the challenge to find the next shape that would take the next number, which in this case was the shape/number 36. We would have to count, find patterns, and find a way in which the shapes connect to numbers.
My Process
To start of my process I just labeled each shape to a number by the number of smaller dots within them, afterwards finding patterns. I found quite a few patterns at first and then I got a bit stuck. Some of the first patterns I found were that the squares repeated every 4th shape starting with #4. The triangles were every 6th starting with #3. After finding these I saw a lot of other little patterns, and came to an answer. My answer was 3 rows and 3 columns of squares created with 4 dots. But it wasn't until another group pointed it out, that I saw a huge pattern that would eventually lead me to changing my first answer. My second answer was more of a triangle shape which is hard to explain but I will insert a picture of both of my answers below. In the end I kept both of my answers just in case and because they both showed how my way of thinking changed throughout the problem.
Other's Process
Other's process was very similar to my process: finding the patterns, counting, labeling, etc. I found that everyone had a very unique way of finding patterns. For example, some found one main pattern and went off that for a while, while others looked for as many as the could. I found that the best method was to look at all patterns within all basic patterns, which is just a bit of both methods.
Solution
We haven't been told the actual solution yet.
Assessment of the Project
I liked this project/problem. I was very interesting to see how everyone's mind changed the shapes to numbers and then numbers to patterns. Everyone was able to share their ideas and it seemed to me like everyone was really trying. The problem did a great job of keeping everyone intrigued and even started up a bit of friendly competition that I think is sometimes needed. I also enjoyed not being given any hints throughout the process itself but do hope we get the solution next week.
Self Evaluation
I think I did pretty good on this problem. I found lots of patterns and really tried my best. Also, I liked that everyone was as lost and hopeful about their problems as I was because we were all trying very hard. The qualities that I used, and I think mostly everyone used, while working on this problem was Patterns/Generalizing and Collaboration. I think the patterns helped a lot to find what I needed and what was going to come next, everything is much easier when you break it down instead of trying to take on a huge problem all at once. Collaboration helped because not everyone sees the same things, eventually we're able to come to the same conclusions but at first it's hard for everyone to see your mindset.
Edits
I added pictures to the section on My Process to make my DP more visual and easy to read/understand.