RUME 28
2026
Alexandria, Virginia
Developing Position From Velocity Through Playful Exploration and Feedback
Page: 1031
Kinematics graphs offer potential for developing relationships between derivates and antiderivatives, but students experience challenges with recognizing the meaning of the area under a velocity graph as change in position. We designed a series of playful math tasks offering structured exploration, in which students worked in virtual environments to develop relationships between speed, time, and distance in tabular and graphical formats. Preliminary analysis suggests that students can use rate reasoning to develop accumulated distance under constant velocity graphs, which then can be developed under linear graphs via Riemann sums.