I believe that mathematics is an extremely important subject because math is used constantly in our daily lives. As a future teacher, I want to teach math in a differentiated matter that meets the needs and interests of my students so they are engaged during the lessons because if they are not engaged, then they will miss out on important concepts. I also believe that mathematics can be taught implicitly in a manner that connects to real world situations. For example, I really enjoy using a bank system in the classroom; students can work on addition and subtraction as well as economic concepts such as handling money and understanding that a bill can represent different amounts of money (e.g. $1, $5, $10). The teacher can make connections to other subject areas such as social studies through a study on economics and literacy through read alouds such as Bunny Money by Rosemary Wells.
I think that the teacher should accommodate the needs of his or her students by providing the students with a variety of manipulatives. There are so many great tools for students to use to help them understand concepts in the classroom. I personally love fraction circles and pattern blocks, but I learned about many new manipulatives in my mathematics course such as fraction rods/tiles. As a teacher, I always want to be open to bringing new tools into the classroom because I want to do everything I can to help my students succeed.
I also believe that students should be allowed to use invented strategies to perform mathematics. Invented strategies are strategies that a student creates to perform mathematics that may not follow the standard calculation. For example, when solving the problem 48 + 34 = ? the standard method would be for the student to add from right to left: 8 + 4 = 12, carry the one to the next row so (1) + 4 + 3 = 8 so the answer would be 81. A student could; however, add from left to right: 40 + 30 = 70 and 8 + 4 = 12 and 70 + 12 = 82. Although this new form may seem complicated to some, if the student understands how and when to implement the strategy, I believe the student should have free range to do so.
All in all, I think that mathematics should be taught in a fun way that relates to the students lives through culturally responsive teaching. I want my students to understand how to perform math in everyday situations such as buying groceries or making a recipe because this realia will allow the students to make connections and remember the concepts.