The Monty Hall Dilemma (MHD), made famous by the television game show Let's Make a Deal, can be an effective teaching tool with wide ranging behavioral science applications. The format and history of the problem are presented as well as experimental data and variations on the original design. Strategic game playing choices are discussed from…

Knowledge restructuring occurs when people shift to a new strategy or representation during learning. Although knowledge restructuring can frequently be experimentally encouraged, there are instances in which people resist restructuring and continue to use an expedient but imperfect initial strategy. The authors report 3 category learning…

The author's secondary school mathematics students have often reported to her that quadratic relations are one of the most conceptually challenging aspects of the high school curriculum. From her own classroom experiences there seemed to be several aspects to the students' challenges. Many students, even in their early secondary education, have…