In answer to a call for innovative science and technology education in primary education, we started a design research project to explore how to teach instantaneous speed in grade five. In this article we present the results of a series of teaching experiments that were conducted to design, try out, and improve a local instruction theory on teaching instantaneous speed in grade five. In a retrospective analysis, looking for patterns in the whole data set, encompassing all experiments, we identified a set of key learning moment of the students. Based on these patterns, a potentially viable local instruction theory was formulated that builds on supporting students in constructing a quantitative understanding of instantaneous speed that is not based on taking the limit of average speed.
de Beer, Huub; Gravemeijer, Koeno; and van Eijck, Michiel
"A Proposed Local Instruction Theory for Teaching Instantaneous Speed in Grade Five,"
The Mathematics Enthusiast: Vol. 14
, Article 24.
Available at: http://scholarworks.umt.edu/tme/vol14/iss1/24