JOURNAL ARTICLE

Advanced algebraic thinking processes in students' modelling activities.

  • Published In: Teaching Mathematics & its Applications, 2023, v. 42, n. 4. P. 360 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Lopes, Aldo Peres Campos e 3 of 3

Abstract

This article investigates how advanced algebraic thinking processes manifest in engineering students’ written work during mathematical modelling activities involving ordinary differential equations (ODEs) at a Brazilian federal university. Advanced algebraic thinking is conceptualized as an extension of elementary algebraic thinking and advanced mathematical thinking, encompassing processes such as symbolic representation, algebraic development, representation translation, synthetization, and generalization. Analysis of students’ group work on two ODE-based models revealed that while symbolic representation and representation translation were commonly expressed, algebraic development and synthetization appeared in about half the groups, and generalization was not observed. The study highlights students’ difficulties with certain mathematical concepts and suggests that fostering advanced algebraic thinking requires guided reflection beyond procedural calculations, especially in higher education contexts involving differential equations.

Additional Information

  • Source:Teaching Mathematics & its Applications. 2023/12, Vol. 42, Issue 4, p360
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2023
  • ISSN:0268-3679
  • DOI:10.1093/teamat/hrac024
  • Accession Number:174081790
  • Copyright Statement:Copyright of Teaching Mathematics & its Applications is the property of Oxford University Press / USA and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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