Mathematical modelling as a facilitator to conceptualization of the derivative and the integral in a spreadsheet environment.

• Autores: Jinhyeong Park, Min-Sun Park, Mimi Park, Jinwoo Cho, Kyeong Hwa Lee
• Localización: Teaching mathematics and its applications, ISSN 0268-3679, Vol. 32, Nº. 3, 2013, págs. 123-139
• Idioma: inglés
• DOI: 10.1093/teamat/hrt012
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• Resumen

  • Though the term `mathematical modelling´ has no single definition or perpective, Lesh et al. suggested six principles for productive modelling activities:`The reality principle, the model construction principle, the self-evaluation principle, the model-externalization principle, the simple prototype principle and the model generalization principle´. These principles were accepted as essential features to design a mathematical modelling task for middle school students in a spreadsheet environment. The purpose of this study is to identify how conceptualization in calculus arises through modelling activities. We analyzed conceptualization in calculus through a semiotic lens with a post-Piagetian framework on the progress of mathematical thinking and learning. As a result of this research, we confirmed that mathematical modelling promotes conceptualization in calculus and that the spreadsheet environment plays an important role in the primary processes of conceptualization.