Conceiving volume as a multiplication of three quantities: The cases of Stan and Sloane

Okumuş S.

14th International Congress on Mathematical Education (ICME 14)., Shanghai, China, 11 - 18 July 2021, pp.1-4

  • Publication Type: Conference Paper / Full Text
  • City: Shanghai
  • Country: China
  • Page Numbers: pp.1-4


In this study, two middle school students who were engaged in finding the volume of prisms and cylinders described a rule for finding the volume of objects. The results indicated that students recalled some volume and area formulas, and stated the formulas when they were asked to compute the volume of objects. They tried to find three numbers to multiply to find the volume of objects referring to the length * width * height formula, which demonstrated they had difficulty understanding the volume of a rectangular prism conceptually. As a result, they conceived the volume formula of three-dimensional objects as a multiplication of three quantities.