Fifth Graders' Enumeration of Cubes in 3D Arrays: Conceptual Progress in an Inquiry-Based Classroom

  • Battista M
  • 46

    Readers

    Mendeley users who have this article in their library.
  • 26

    Citations

    Citations of this article.

Abstract

In this study I utilize psychological and sociocultural components
of a constructivist paradigm to provide a detailed analysis of how
the cognitive constructions students make as they enumerate 3D arrays
of cubes develop and change in an inquiry-based problem-centered
math- ematics classroom. I describe the classroom work of 3 pairs
of 5th graders on an instructional activity involving predicting
the number of cubes that fit in graphically depicted boxes, and I
carefully explicate how the mental processes of abstraction, reflection,
perturbation, spatial structuring, and coordination, along with face-to-face
social interaction within pairs, brought about meaningful and powerful
student learning.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Michael T. Battista

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free