This article discusses how a teacher can prepare the terrain for students to understand what it means to define a figure. Drawing on writings from mathematicians and mathematics educators on the role of definitions in mathematics, the authors argue that students develop a greater appreciation for the conciseness of a mathematical definition if they are involved in activities of generating figures that meet stipulated properties. The authors illustrate that argument with episodes from students’ play of a game called Guess My Quadrilateral! in two high school geometry classes.
|Original language||English (US)|
|Journal||The Mathematics Educator|
|State||Published - 2005|