Students' Development of Instrumented Action Schemes for Numerically Determining Limits Using Programming

Artigo2026

Andreas Borg; Maria Fahlgren

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Resumo

Through educational reforms, programming has in recent years been integrated into school curricula in many countries, often in conjunction with mathematics education. Using programming in school mathematics presents new mathematical possibilities but also introduces challenges for both students and teachers. In this case study, we employ the Instrumental Approach as a theoretical lens to investigate how students' perceptions of function limits are affected by their use of programming. The findings reveal how a careful design of lesson activities involving programming can enhance students' ability to use programming as a mathematical tool. However, the study also demonstrates that using programming to numerically determine limits primarily fosters a dynamic process view of limits. In this view, students focus on the process in which the dependent variable approaches a specific value but struggle to coordinate this with the corresponding process of the independent variable approaching a given value. We contend that it is essential for mathematics teachers to thoughtfully integrate programming into their teaching and to consider how students' use of programming might influence their perception of mathematical concepts such as limits.

Dados da obra

Tipo
Artigo
Periódico
Digital Experiences in Mathematics Education
Ano
2026
Idioma
en
Palavras-chave
Mathematics Education; Secondary School Mathematics; Programming; Mathematical Concepts; Mathematics Skills; Mathematics Instruction; Teaching Methods; Foreign Countries; Mathematics Curriculum
Temas
Currículo, Pensamento Computacional
ISSN
2199-3246
Acesso
Metadados apenas
Fontes
ERIC — Education Resources Information Center
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
BORG, Andreas; FAHLGREN, Maria. Students' Development of Instrumented Action Schemes for Numerically Determining Limits Using Programming. Digital Experiences in Mathematics Education, 2026. Disponível em: http://dx.doi.org/10.1007/s40751-025-00177-w. Acesso em: 5 nov. 2026.

APA

Borg, A., & Fahlgren, M. (2026). Students' Development of Instrumented Action Schemes for Numerically Determining Limits Using Programming. Digital Experiences in Mathematics Education. http://dx.doi.org/10.1007/s40751-025-00177-w

BibTeX
@article{borg2026,
  author = {Borg, Andreas and Fahlgren, Maria},
  title = {Students' Development of Instrumented Action Schemes for Numerically Determining Limits Using Programming},
  year = {2026},
  journal = {Digital Experiences in Mathematics Education},
  url = {http://dx.doi.org/10.1007/s40751-025-00177-w},
  language = {en}
}
RIS
TY  - JOUR
AU  - Borg, Andreas
AU  - Fahlgren, Maria
TI  - Students' Development of Instrumented Action Schemes for Numerically Determining Limits Using Programming
PY  - 2026
JO  - Digital Experiences in Mathematics Education
UR  - http://dx.doi.org/10.1007/s40751-025-00177-w
LA  - en
ER  - 

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS

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