This is the summary of a presentation given at the 74th Annual NCTM Meeting, 25-28 April 1996, San Diego, CA.
This activity uses colored chips to represent money as participants engage in a simulated activity involving trading on the open market. Following the activity we will organize the data and make a decision about which criteria to apply in order to select a winner. We will discuss the differences among thinking multiplicatively, thinking additively, and thinking absolutely. We will also discuss the importance of helping students develop the kind of multiplicative reasoning required to consider ratios. This discussion will be facilitated with a spreadsheet (using Microsoft Excel with a Powerbook and an LCD panel) enabling us to organize the data in tabular and graphical forms. Extensions to the activity will be discussed. Participants will create questions they might use with students to discuss differences between reasoning additively and reasoning multiplicatively. At the end of the session, all participants will receive a detailed lesson which they may use in their classrooms along with a set of questions designed to encourage discussions about the distinctions between additive/multiplicative reasoning.
Randolph A. Philipp (San Diego State University, San Diego, CA)
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