1. Lily Ko
  2. Research Associate
  4. TERC, Massachusetts Institute of Technology
  1. Kimberle Koile
  2. http://web.mit.edu/kkoile/www
  3. Research Scientist
  5. Massachusetts Institute of Technology
  1. Andee Rubin
  2. Senior Scientist
  4. TERC

Technology for Mathematical Argumentation (TMA)

NSF Awards: 1250362, 1250802

2016 (see original presentation & discussion)

Grades K-6

The goal of Technology for Mathematical Argumentation (TMA) was to construct a computational environment in which elementary students could explore the behavior of arithmetic operations such as multiplication and division. It is based on the work of Russell, Schifter & Bastable (2011), who introduced the idea of representation-based proofs, a way for young students to demonstrate why a generalization is true using a representation rather than algebraic symbols. Our system, Classroom Learning Partner, provides two kinds of tools to support this process: Tools to construct and manipulate mathematical representations, such as arrays, and an animation system to record the transformation of a quantity through an operation. Here, we demonstrate how we designed a curriculum sequence to lead second-grade students to use CLP to explore the generalization: Nx4 = (Nx2)x2.

TMA is a collaboration between TERC and MIT’s Center for Educational Computing Initiatives, now part of MIT’s Office of Digital Learning. This material is based upon work supported by the National Science Foundation under Grant Numbers DRL-1019841 and 1020152. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NSF.

This video has had approximately 268 visits by 210 visitors from 117 unique locations. It has been played 162 times.
activity map thumbnail Click to See Activity Worldwide
Map reflects activity with this presentation from the NSF 2016 STEM For All Video Showcase website, as well as the STEM For All Multiplex website.
Based on periodically updated Google Analytics data. This is intended to show usage trends but may not capture all activity from every visitor.
Public Discussion
  • Post to the Discussion

    Presenters and Facilitators, please login before contributing to the discussion.



    NOTE: Your email will be kept private and will not be shared with any 3rd parties