Van de Walle Chapter 8

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Chapter Eight Response While reading chapter eight in Teaching Student Centered Mathematics: Grades 3-5 by John A. Van de Walle and LouAnn H. Lovin, I had a few moments of clarity: firstly, my understanding of spatial sense and its importance in the classroom was deepened. Secondly, Van Hiele’s model was introduced and explained extensively. Lastly, my eyes were opened to the ways in which I can introduce geometry in an appropriate manner to age groups previously not exposed to the subject. Overall, chapter eight addressed the reasons why geometry is a crucial subject in any math classroom and, in addition, provided future teachers with a functional list of activities by means of which to teach geometry. **Author’s note: There are many ideas introduced throughout this chapter; however, I will be addressing only the few which I found most interesting/applicable. One of the first concepts introduced in this chapter is that of spatial sense. Van de Walle and Lovin define spatial sense as “…an intuition about shapes and the relationships among shapes” (page 205). Growing up, math teachers always seemed surprised when I showed competence manipulating objects and shapes. Teachers even went so far as to tell me usually boys have better spatial sense. Reading the authors’ acknowledgement of the fact people are not simply born with or without spatial sense was very interesting to me; this statement made me wonder how I can foster this skill in my own students. Similar to number sense (defined and discussed in chapter two of this same text), having spatial sense is crucial to understanding geometry. Knowing that mathematics in general helps to formalize the ability to be able to grasp, visualize and represent the space in which we live, it stands to reason that learners who are able to display an understanding of spatial sense have a better understanding of the fact that

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