Investigating Students’ Mathematical Modeling Process Emerging Through Their Interactions With Cognitive Artifacts

• In Event: Virtual Poster Session
  In Virtual iPresentation Only: Division C - Section 1c: Mathematics Virtual Poster Session

Abstract

Mathematical modeling allows students experience problem solving and using mathematical constructs in a meaningful way. This paper aims to investigate students’ connection between mathematics and real world, and the elements and interactions contributing to that during their mathematical modeling process. In this study, we examined relationships between cognitive artefacts and students’ cognitive processes, using interaction based approach to classify cognitive artefacts, and how such interactions facilitated or hindered their different sub processes during the map modeling process. In our findings we have found constitution relationship fostering students’ mathematical modeling process, while substitution relationship impeding it. Our analysis contributes for explaining transitions of students’ cognitive processes happening during mathematical modeling process by analyzing patterns of their interactions with the cognitive artefacts.

Authors

• Kritika Chitkara, Indian Institute of Technology Bombay

• Sahana Murthy, Indian Institute of Technology Bombay