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Yes, my opinion has changed and grown. I understood that problem solving was something that I would use in real life, but I didn’t realize how often and how helpful it is

Ps. I just copied mine and put it on one with my name cause the first one didn’t have my name on it.

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My opinion on mathematical problem solving has changed in how I view it. After reading the article I realized that algebra had more to do with other subjects then I'd originally thought. Also, I never knew that there were so many jobs that required a good understanding of mathematical problem solving.

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My take on math problem solving has changed in perspective, not importance. I now realize that math problem solving can be used for many more things outside of just solving equations in math class.

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My opinion has not changed much, I still think that math is in every day life.

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My opinion on mathematical problem solving has not changed much, but now I also know that math is very important in science, which I didn’t think of before.

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My opinion on math problem solving has changed after reading this article. I never thought that math problem solving was such a huge impact, the passage has proved me that there are many ways math can help.

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My opinion on mathematical problem solving has not really changed. After reading the essay, my knowledge on the subject only developed as the article explained many ways math was used in real world problems.

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My opinion on math problem-solving has not really changed. I have grown used to implementing math into my life. The article just showed me different ways math can be applied.

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Yes, my opinion has changed and grown. I understood that problem solving was something that I would use in real life, but I didn’t realize how often and how helpful it is.

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My opinion on math problem-solving has been expanded to not just using things learned for math, but also for things like medicine.

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My opinion didn't change much since I already knew that math problem solving was used in not just math but also other things like science and technology (coding, etc.). But the essay also expanded my knowledge on math problem solving because we can also use it in other real-world problems.

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My viewpoint did change quite a bit. I knew that algebra is used in most jobs and real world problems. Even so, the article clarified that it is used in most professions, which root from math, science, and many other sub-topics.

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My opinion did change some. I knew that mathematical problem solving was an important skill in the "real world". However, I didn't really understand just how important it is. After reading this article, I realized that it is much more important than I though.

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My opinion did not change, but insteat was broadaned. This essay showed me that math can be applien in many ways. It can help you solve real life problems as well as homework problems.

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My opinion didn’t really change. I knew that even math can apply to how you do things in the real world. “How you do anything is how you do everything” Mark Cuban. Based off this quote, if you learn how to problem solve in math it will affect and change how  you solve problems in the real world. This essay just made that even more clear for me.

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My opinion hasn't changed much after reading the essay. I already knew that mathematical problem solving applies to solving problems in the real world. The essay has just broadened my understanding on the topic and has furthermore explained to me the various scenarios in which math can be used to solve real world problems.

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Not really. I have known that math is the language of the universe, and that some of the only things that can not be described with math, are human activity. Math is pretty much everything. As I said earlier, math is the language of the Universe.

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Before reading this article, when hearing the term "Mathematical Problem solving", I would think of solving problems on a test such as the SAT or in a math class in school. Now, I realize that mathematical problem solving is really everywhere and is ubiquitous in life, not just in math tests. I now understand the importance of mathematical problem solving much more.

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I don't think my opinion on mathematical problem solving has changed much after reading the essay. Previously, I believed it was applying knowledge of math to solve real-world problems, and I still believe that. If anything, reading that essay has further solidified my stance on this topic.