When understood and applied appropriately, mathematics is both beautiful and powerful. As a result, students are sometimes tempted to extend that power beyond appropriate limits. In teaching statistics at both the high school and college level, I have found that one of students' biggest struggles is applying their understanding of probability to make appropriate inferences.
Adam Poetzel, Joseph Muskin, Anne Munroe, and Craig Russell
Using simple materials, a Mathematica software application, and their knowledge of function transformations, students design and create real mathematical sculptures.
Walter J. Whiteley and Ami Mamolo
Investigating rates of change in volume without calculation leads to an enriched sense of the optimization process and encourages reflection and connection among different approaches.