@article {MATHEDUC.06211013, editor = {Mooney, Edward S. and Bair, Sherry L.}, title = {Penny drop.}, year = {2012}, journal = {Mathematics Teaching in the Middle School}, volume = {18}, number = {3}, issn = {1072-0839}, pages = {136-139}, publisher = {National Council of Teachers of Mathematics (NCTM), Reston, VA}, doi = {10.5951/mathteacmiddscho.18.3.0136}, abstract = {From the text: Students' thinking is discussed, and the procedures used with problem solving are explored. The penny drop problem appeared in [the editors, ibid. 17, No. 6, 319 (2012)]. To play the penny drop game, drop a penny from a height of 4 inches over a target. If more than the half of the penny is inside the circle labeled 50, you score 50 points. You need to add a 25-point region to the target so that the probability of scoring 25 points is double the probability of scoring 50 points. Experiment dropping pennies from a 4-inch height on your new target and record your results. Once you have decided on a region or regions, write an explanation of how and why you chose that area. A diagram was provided to illustrate the size and position of the 50-point circle on a board. Additionally, two full-size templates were available online for teacher use, one with a background grid and one without a grid. Teachers were encouraged to choose the template they believed was more appropriate for their students. Colleen Donahue, an eighth-grade teacher, sent in her students' work and shared some reflections. These reflections provided wonderful insight into not only students' thinking but also how a teacher presented the task and how it was used in the classroom.}, msc2010 = {G33xx (K53xx)}, identifier = {2013f.00483}, }