Logo Utrecht University

Embodied Design

Sine Graph

 This activity introduces a graph of sine function as built from the unit circle model. Starting with the input of the function, students move one point along the unit circle and another along the x-axis, keeping them equidistant from the starting point. In the sequence for the classroom, the circumference is introduced connecting the two points virtually to allow students measuring the arc in the unit circle via the sine graph using the radius, providing an embodied experience for radian measurement. For the output of the sine function, a student aligns the value of the function on the graph with sine value on the unit circle. Finally, a sine graph carves out from the students’ sensory-motor activity.

Publications:

Alberto, R., Bakker, A., Walker-van Aalst, O., Boon, P., & Drijvers, P. (in press). Networking theories in design research : an embodied instrumentation case study in trigonometry In U. T. Jankvist, M. van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (pp. XX-XX). Utrecht, the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME.

Drijvers, P. (2020). Embodied instrumentation: combining different views on using digital technology in mathematics education. In U. T. Jankvist, M. van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (pp. XX-XX). Utrecht, the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME.

Shvarts, A., Alberto, R., Bakker, A., Doorman M., Drijvers P., (in press) Embodied instrumentation: Reification of sensorimotor activity into a mathematical artifact. (XXX eds) Proceedings of the 14th International Conference on Technology in Mathematics Teaching

Alberto, R., & Bos, R.D., (in press). Het FIzier gericht op … Embodied cognition in het wiskundeonderwijs. Euclides.