
06211013
j
2013f.00483
Mooney, Edward S. (ed.)
Bair, Sherry L. (ed.)
Penny drop.
Math. Teach. Middle Sch. 18, No. 3, 136139 (2012).
2012
National Council of Teachers of Mathematics (NCTM), Reston, VA
EN
G33
K53
circles
area
grade 8
frequency table
probability
games
experimental mathematics
discovery learning
student activities
problem solving strategies
experience reports
doi:10.5951/mathteacmiddscho.18.3.0136
http://www.nctm.org/publications/article.aspx?id=34491
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 25point 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 4inch 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 50point circle on a board. Additionally, two fullsize 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 eighthgrade 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.