The most interesting thing that I learned about how this math developed was that it was based on trading in ancient China.  The most challenging part of the research was that I couldn't find very much of the information, so I was more opened up to other things like algebra, or math rules.  During this project, I improved my researching skills the most because of the limited information. If I had more time, I would make this presentation have more detailed information.  This time's research project let me think more of the ancient mathematics and how they were invented, or discovered.

In class, we did a lot of projects, some that let me have memories are the warm up questions.  The warm up questions are usually about algebra, we look at the question on the board and write the questions.  The 2nd one is also a warm up question, a random question that you need to think about to answer in the start of the class.  The 3rd one is the field trip project, where we need to plan a field trip, and make a poster about it to show what we will do and where we will go.

If someone was looking at my work, they will learn that I always try my best, even if I don't like to work.  Something that may need to be improved is that I don't write a plan on which homework to do first, I just open my laptop, and work on whichever one I want, or that takes the least time to do.  Maybe in the future, I can look at the assignment, and then think which one to do first, and which one to do last.

My math portfolio connects to my English portfolio and my Chinese portfolio because in all of the portfolios, I need to reflect, reflect, and reflect.  It's all about how you will improve after your previous attempt.  My math portfolio connects to my previous math portfolio that I did last semester because it basically does the same thing.  A feedback that I got is about the field trip project, it was from my classmate Jordan.  He told me what he thought of my project and where to improve.  Although later I joined Jordan's group, and we made the poster that is right on the left.

I think that the hardest part of modelling is to make the budget and show how much we will spend because there are a lot of things that we can only know if we really make an appointment, like how much does it cost to go in a group our destination, Window on World theme park, and what bus company will we rent the busses from.  Math helped me be sure if the budget that I have is enough for the number of students and teachers we want to bring to Window on World theme park.  If the budget increased to 50,000 NTD I would adjust the people that we bring, maybe we can invite more classes to go with us, or we can have the same amount of people, but we can go to a fancy restaurant.  If there are a lot of people going along, then we will be forced to use less money, so we would have to buy some cheaper bentos, or stay in the theme park for a shorter amount of time, but if the people that are going there are just a few, then we will have some extra money, so we can have fancier lunches and stay in the theme park longer.  Our models show that the field trip is cheap for the best quality because the students can have fun walking and looking around the theme park, while also learning about landmarks around the world.  Our mathematical model supports my decision by showing the price that we need for the amount of people that are going.

In my opinion, writing a code is similar to solving a math problem because you need to use logic, to me it is the same way as when I solve an algebraic question.  One time that I realized that one small mistake can completely change a code's outcome is when I was doing my maze, I later fixed the error, but one small mistake in the coordinates changed the code completely.  This is similar to when I make a calculation error at the very end of a math problem.  The thing that surprised me the most about coding was its similarity to Math, not just similarity, I later found out that coding was built off of math.  After learning Scratch, I can now understand the coding language, it doesn't mean that I am good at it, but at least I can understand it and use coordinates, algebra, and variables better.

I think that my Mathematics portfolio connects to my portfolios from other classes because all of them helps me to reflect on my work and show me where I can improve next time.  It also helps me keep track of my learning journey, so I can see how much I have improved over the years.  This portfolio also connects to my PBL project because in both projects, I need to reflect a lot on the work that I did.  A specific piece of peer feedback that improved my Maze Project is by Jordan, this feedback says that I should wait some seconds before the ball does the next move, it helped me to make the ball completely walk through the maze.