Using Non-Traditional Activities to Enhance Mathematical Connections

In this action research study of my classroom of seventh grade mathematics, I investigated the use of non-traditional activities to enhance mathematical connections. The types of nontraditional activities used were hands-on activities, written explanations, and oral communication that required students to apply a new mathematical concept to either prior knowledge or a realworld application. I discovered that the use of non-traditional activities helped me reach a variety of learners in my classroom. These activities also increased my students’ abilities to apply their mathematical knowledge to different applications. Having students explain their reasoning during non-traditional activities improved their communications skills, both orally and in writing. As a result of this research, I plan to incorporate more non-traditional activities into my curriculum. In doing so, I hope to continue to increase my students’ abilities to solve problems. I also plan to incorporate the use of written explanations of my students’ mathematical reasoning in order to continue to improve their communication of mathematics.

The Myth of the Rational Market: Nudging Each Other Away from Fool’s Gold

A flurry of media commentary and several new books are focused on the recent financial crisis and near economic collapse. A Newsweek article by Zakaria (2009), “Greed is Good (To a Point),” suggests reconsidering the role of greed in capitalism. This is also the theme in Fools Gold (Tett, 2009), a story about the way derivatives markets have evolved: showing greed at its worst. In many ways this is the core source of the current set of problems. In some sense, these perspectives are integrated in The Myth of the Rational Market by Fox (2009), who traces the thinking on the efficient market hypothesis, now understood for what it is: a myth. Both books are based in large part on interviews with major players in the crisis. There are also books drawing mainly on science, but still quite accessible to general readers, as represented in Nudge by Thaler and Sunstein (2008). Both have done extensive research on human foibles in economic choice. There is also Animal Spirits (Akerlof and Schiller, 2009), a book about what Keynesian economics is really about, a look at human forces at work. Akerlof is a Nobel prize winner in economics, who before this has pointed to the problems with presuming rationality in real markets. Schiller is one of the few economists who predicted these events.