
06428422
j
2015c.00938
Vui, Tran
Investigating arithmetic mean, harmonic mean, and average speed through dynamic visual representations.
J. Korean Soc. Math. Educ., Ser. D, Res. Math. Educ. 18, No. 1, 3140 (2014).
2014
Korean Society of Mathematical Education (KSME), Seoul
EN
M53
G43
D43
F83
dynamic representations
arithmetic mean
harmonic mean
average speed
visualization
Summary: Working with dynamic visual representations can help studentswithcomputer discover new mathematical ideas. Students translate among multiple representations as a strategy to investigate nonroutine problems to explore possible solutions in mathematics classrooms. In this paper, we use the area models as new representations for our secondary students to investigate three problems related to the average speed of a particle. Students show their ideas in the process of investigating arithmetic mean, harmonic mean, and average speed through their created dynamic figures. These figures really utilize dynamic geometry software.