for the learning of mathematics

an international journal of mathematics education

Justin Dimmel ,  Amanda Milewski - Vol. 39 Num. 3 (2019)
 Scale, perspective and natural mathematical questions


We describe how a group of secondary mathematics teachers posed and solved a real-world problem. The problem was posed by teachers on a sandbar off the coast of an island in the Bahamas, where panoramic views of water meeting sky spurred the teachers to wonder how far away they could see. We analyze how the teachers translated the natural question, How far can we see?, into a mathematical problem they could solve. In particular, we focus on how the teachers used their bodies and different perspectives to negotiate and, eventually, mathematically control, different scales of space.