Problem Solving Trajectories in a Dynamic Mathematics Environment: The Geometer’s Sketchpad

  • Michael J. Bosse Appalachian State University


Student problem solving in the context of a dynamic mathematics environment (DME) has previously been investigated primarily through the lens of whether or not the student could complete a problem solving task. Herein, we investigate what trajectories students employ in the realms of mathematics, technology, and problem solving as they attempt to complete tasks and which of these trajectories are more helpful than others. Notably, it was determined that these trajectories are idiosyncratic, nonlinear, and iterative and that, while some trajectories help problem solving, others harm the problem solving process. Among other findings, it was determined that student access to technology may not assist their mathematical problem solving and may at times hinder it even further.

Author Biography

Michael J. Bosse, Appalachian State University

Michael. J. Bossé is the Distinguished Professor of Mathematics Education and MELT Program Director at Appalachian State University, Boone, NC. He teaches undergraduate and graduate courses and is active in providing professional development to teachers in North Carolina and around the nation. His research focuses on learning, cognition, and curriculum in K-16 mathematics.


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