Exploring the Mathematics Teacher's Specialized Knowledge through the Sigmoid Function

Artigo2025

Daniel Martín-Cudero; Rocío Guede-Cid; Ana Isabel Cid-Cid

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Resumo

This study explores the specialized knowledge mobilized by a mathematics teacher when implementing an interdisciplinary activity based on the sigmoid function in an 11th grade class. The research aims to identify the mathematical and didactic knowledge elements present during the activity and to detect potential conceptual or pedagogical limitations in the teacher's practice. A qualitative instrumental case study was conducted within an interpretive paradigm, using non-participant classroom observations and reflective field notes as primary data sources. The intervention was conducted in a public high school in Madrid and involved fifteen sciencetrack students across two 50-minute sessions. It consisted of a complete mathematical study of the sigmoid function and reflective reasoning tasks designed to contextualize the concept within real-world applications. The analysis was framed using the mathematics teacher's specialized knowledge model. The findings reveal that the teacher demonstrated strong competencies in several subdomains of this model, particularly in content knowledge, inter-conceptual connections, and pedagogical strategies. Additionally, the teacher showed strong awareness of student thinking and provided targeted instructional support. However, the study identified minor limitations in the teacher's epistemological contextualization of the mathematical content beyond its technical aspects, pointing to the need for deeper engagement with its historical and conceptual foundations. Overall, the study confirms the usefulness of the model in characterizing the complexity and integration of knowledge required for teaching interdisciplinary mathematical content effectively, although it would be necessary to refine certain knowledge elements in future work.

Dados da obra

Tipo: Artigo
Periódico: European Journal of Science and Mathematics Education
Ano: 2025
Idioma: en
Palavras-chave: Mathematics Teachers; Pedagogical Content Knowledge; Expertise; High School Teachers; Secondary School Mathematics; Mathematics Instruction; Foreign Countries; Epistemology; Mathematical Concepts; Concept Formation; Grade 11; Mathematics Skills; Computation
Acesso: Download disponível
Fontes: ERIC — Education Resources Information Center
Na Biblioteca desde: 01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
MARTÍN-CUDERO, Daniel; GUEDE-CID, Rocío; CID-CID, Ana Isabel. Exploring the Mathematics Teacher's Specialized Knowledge through the Sigmoid Function. European Journal of Science and Mathematics Education, 2025. Disponível em: https://eric.ed.gov/?id=EJ1491099. Acesso em: 5 nov. 2026.

APA

Martín-Cudero, D., Guede-Cid, R., & Cid-Cid, A. I. (2025). Exploring the Mathematics Teacher's Specialized Knowledge through the Sigmoid Function. European Journal of Science and Mathematics Education. https://eric.ed.gov/?id=EJ1491099

BibTeX

@article{martincudero2025,
  author = {Martín-Cudero, Daniel and Guede-Cid, Rocío and Cid-Cid, Ana Isabel},
  title = {Exploring the Mathematics Teacher's Specialized Knowledge through the Sigmoid Function},
  year = {2025},
  journal = {European Journal of Science and Mathematics Education},
  url = {https://eric.ed.gov/?id=EJ1491099},
  language = {en}
}

RIS

TY  - JOUR
AU  - Martín-Cudero, Daniel
AU  - Guede-Cid, Rocío
AU  - Cid-Cid, Ana Isabel
TI  - Exploring the Mathematics Teacher's Specialized Knowledge through the Sigmoid Function
PY  - 2025
JO  - European Journal of Science and Mathematics Education
UR  - https://eric.ed.gov/?id=EJ1491099
LA  - en
ER  -

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