Linear algebra proofs: Ways of understanding and ways of thinking in the formal world

Sepideh Stewart ; Tien Tran ^[1]
1. [1] University of Oklahoma
  
  University of Oklahoma
  
  Estados Unidos
Localización: Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education / coord. por Ceneida Fernández Verdú , Salvador Llinares Ciscar , Ángel Gutiérrez Rodríguez , Núria Planas i Raig , Vol. 4, 2022 (Research Reports (Si – Z) · Oral Communications, Poster Presentations), ISBN 978-84-1302-178-2, págs. 43-50
Idioma: inglés
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Resumen
- Research on teaching and learning of proofs in linear algebra is scarce. To help fill this gap, we interviewed six students taking a second linear algebra course and examined some of their coursework that they handed in. In this paper, we examined students’ ways of understanding and ways of thinking (Harel, 2008) in the formal world (Tall, 2008) of mathematical thinking from their statements as they unpacked a particular linear algebra proof. The results show that students were able to unpack and adjust the proof formally in a second course and reacted positively.