"Dear Math,
grow up and solve your own problems."
grow up and solve your own problems."
Mathematics Reflective Statement
Teachers use the Mathematics frameworks as a form of guidance for students to gain proficiency and understanding of math across all the grade levels. Mathematics content is meant to be a link to solving real-world situations by using mathematics to solve problems, develop “habits of minds” that will help acquire mastery of mathematics content and its understanding. The standards of K-8 prepare students for higher mathematics by giving them the foundation that will help them build advanced mathematical knowledge, preparing them for college, career, and productive citizenship. The mathematics frameworks are based on three principles: focus, coherence, and rigor. The principles are meant to achieve a greater understanding, procedural skill and fluency, and be able to apply math in order to solve a problem. Overall the frameworks are a progression of math learning.
The math courses that have taught me these mathematical principles have been Math 107: Mathematics for Elementary Teachers: Real Numbers, and Math 207: Mathematics for Elementary Teachers: Geometry. Our Math 107 instructor had us think as if we were back in elementary school by using different techniques on how to add, subtract, and divide. For example, we used tiles, colored pencils, drawing, and he had us present the different ways we could attack a problem. Math 207 helped me get a deeper understanding of geometry. In this class we were encouraged to work together in groups to figure out the problems given by the instructor. We also were encouraged to show the different kinds of ways that one problem could be approached, and to teach one another these different techniques in order to make it easier for us to understand. Math 107 and Math 207 asked to keep records of the different techniques in the form of a portfolio, which helped me understand how to teach my future students by learning the different techniques, building a deeper understanding of mathematics, and also applying it to a different type of mathematical problems.
The artifacts I chose they are a collection of portfolios that we worked on in both of these classes. The reason why I chose the portfolios as artifacts it is because, the portfolios actually helped me see math in a different perspective, working on these assignments helped me see that children are not meant to learn just by 2+2=4 but thorough explanation, it is not about memorizing a formula, but actually getting a deeper understanding that will not only help them understand math but also be able to make sense of it in a way that could be taught or used in daily life.
Teachers use the Mathematics frameworks as a form of guidance for students to gain proficiency and understanding of math across all the grade levels. Mathematics content is meant to be a link to solving real-world situations by using mathematics to solve problems, develop “habits of minds” that will help acquire mastery of mathematics content and its understanding. The standards of K-8 prepare students for higher mathematics by giving them the foundation that will help them build advanced mathematical knowledge, preparing them for college, career, and productive citizenship. The mathematics frameworks are based on three principles: focus, coherence, and rigor. The principles are meant to achieve a greater understanding, procedural skill and fluency, and be able to apply math in order to solve a problem. Overall the frameworks are a progression of math learning.
The math courses that have taught me these mathematical principles have been Math 107: Mathematics for Elementary Teachers: Real Numbers, and Math 207: Mathematics for Elementary Teachers: Geometry. Our Math 107 instructor had us think as if we were back in elementary school by using different techniques on how to add, subtract, and divide. For example, we used tiles, colored pencils, drawing, and he had us present the different ways we could attack a problem. Math 207 helped me get a deeper understanding of geometry. In this class we were encouraged to work together in groups to figure out the problems given by the instructor. We also were encouraged to show the different kinds of ways that one problem could be approached, and to teach one another these different techniques in order to make it easier for us to understand. Math 107 and Math 207 asked to keep records of the different techniques in the form of a portfolio, which helped me understand how to teach my future students by learning the different techniques, building a deeper understanding of mathematics, and also applying it to a different type of mathematical problems.
The artifacts I chose they are a collection of portfolios that we worked on in both of these classes. The reason why I chose the portfolios as artifacts it is because, the portfolios actually helped me see math in a different perspective, working on these assignments helped me see that children are not meant to learn just by 2+2=4 but thorough explanation, it is not about memorizing a formula, but actually getting a deeper understanding that will not only help them understand math but also be able to make sense of it in a way that could be taught or used in daily life.