Block Towers: Co-construction of Proof



In previous chapters, we observed elementary school students working to make sense of the towers problems by building representations, formulating conjectures, and defending their solutions in discussions with classmates and researchers. In this chapter, we observe a cohort of high school juniors as they engage in explorations and constructions in the towers problem. During this session, the students found and generalized formulas for solutions to the original towers problem (building towers when selecting from two colors of Unifix cubes) and extensions (with more than two colors of cubes), using methods including controlling for variables, justification by cases, and inductive reasoning.


High School Junior Inductive Reasoning Inductive Argument Building Representation Elementary School Student 

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Secondary EducationThe City College of the City University of New YorkNew YorkUSA
  2. 2.Department of Mathematical SciencesFelician CollegeRutherfordUSA

Personalised recommendations