VISUALIZATION REFLECTION

Challenge & Selection  As an 8th grade student, I use visualization a lot in my life. In my classes, I strive to not only memorize the information presented but also understand it. In order for me to do this, I use visualization. Some of my peers who struggle constantly ask me for aid in their respective subjects which we share. I wanted to challenge myself to only use the tool of visualization to help them. I selected visualization as we are now studying geometry and it's very important to learn how to visualize things.

Application  The main problems that my peers have with math are fairly simple to solve with visualization. For example, some of them aren't comfortable with the relatively important concept of isometries. In geometry, an isometry is a rigid transformation between metric spaces. Most of my classmates simply try to figure out and isometry by using a formula. However while being sloppy, a formula can give you inaccurate results due to an unforced error. Geometry, however, is the perfect candidate for usage of visualization.    What you have to remember while doing simple isometries is that it is usually possible to do without any formula what so ever. One example a 180 rotation transforms from (x,y) to (-x,-y). For people who were just barely paying attention in class, this concept isn't one they are likely to remember. So when I was doing homework with a friend and they start asking me for help on an isometry by saying they forgot the formula I switched my approach. In the past, I would simply tell them the formula. This time. I explained to them to visualize the shape than explained how it usually transforms diagonally. After doing this a couple of times I found it to be a lot more helpful for them and I switched my approach.    In this scenario, the tool was applied effectively. However, geometry is a very specific domain which visualization works very well. Most other areas of math cannot be explained this easily due to the fact they require complex formulas. Geometry worked very well because lots of geometry is a visualization so it is easy to expand that to other areas.

Fernando Soares

Insight and Approach  I've learned lots from this challenge specifically how to explain things to my peers in different ways. Apart from helping my peers, I can also help myself understand more concepts. Not only math but in all my subjects and also in life. Design thinking has really transformed my perspective on problem-solving. Now, when faced with a challenge or a problem I immediately turn to the steps introduced to me in this video.    If I were to do this challenge again I would turn to challenge a little more out of the norm to me. Geometry I felt was too easy to get a complete grasp on the concept I. Next time I would turn to a concept out of school and out of my comfort zone. Because I realized how powerful of a tool visualisation is I will use it now in my day to day life.


VISUALIZATION REFLECTION Challenge & Selection As an 8th grade student , I use visualization a lot in my life . In my classes , I strive to not only memorize the information presented but also understand it . In order for me to do this , I use visualization . Some of my peers who struggle constantly ask me for aid in their respective subjects which we share . I wanted to challenge myself to only use the tool of visualization to help them . I selected visualization as we are now studying geometry and it 's very important to learn how to visualize things . Application The main problems that my peers have with math are fairly simple to solve with visualization . For example , some of them are n't comfortable with the relatively important concept of isometries . In geometry , an isometry is a rigid transformation between metric spaces . Most of my classmates simply try to figure out and isometry by using a formula . However while being sloppy , a formula can give you inaccurate results due to an unforced error . Geometry , however , is the perfect candidate for usage of visualization . What you have to remember while doing simple isometries is that it is usually possible to do without any formula what so ever . One example a 180 rotation transforms from ( x , y ) to ( -x,-y ) . For people who were just barely paying attention in class , this concept is n't one they are likely to remember . So when I was doing homework with a friend and they start asking me for help on an isometry by saying they forgot the formula I switched my approach . In the past , I would simply tell them the formula . This time . I explained to them to visualize the shape than explained how it usually transforms diagonally . After doing this a couple of times I found it to be a lot more helpful for them and I switched my approach . In this scenario , the tool was applied effectively . However , geometry is a very specific domain which visualization works very well . Most other areas of math can not be explained this easily due to the fact they require complex formulas . Geometry worked very well because lots of geometry is a visualization so it is easy to expand that to other areas . Fernando Soares Insight and Approach I 've learned lots from this challenge specifically how to explain things to my peers in different ways . Apart from helping my peers , I can also help myself understand more concepts . Not only math but in all my subjects and also in life . Design thinking has really transformed my perspective on problem - solving . Now , when faced with a challenge or a problem I immediately turn to the steps introduced to me in this video . If I were to do this challenge again I would turn to challenge a little more out of the norm to me . Geometry I felt was too easy to get a complete grasp on the concept I. Next time I would turn to a concept out of school and out of my comfort zone . Because I realized how powerful of a tool visualisation is I will use it now in my day to day life .