Knowledge for Teaching Mathematical Problem-Solving with Technology: An Exploratory Study of a Mathematics Teacher's Proficiency
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Resumo
This paper presents the results of an exploratory case study that examined a veteran secondary teacher's knowledge for teaching non-routine mathematical problem-solving with digital technologies. Data was collected through the observation of a veteran mathematics teacher, in real time, solving a mathematical problem with the digital tools of his choice. The descriptive model Mathematical Problem-Solving with Technology (MPST) was used to analyse the teacher's utterances and actions while solving a mathematical problem, with GeoGebra and a spreadsheet, and expressing his reasoning also with technology. Our findings reveal the complexity of expert problem-solving with technology, through regulation processes and several micro-cycles that mainly involve the processes integrate and explore. Mathematical problem solving with technology entails relevant mathematical knowledge as well as knowledge about the mathematical affordances of the digital tools available, and the ability to combine them to develop a conceptual model of the solution to the problem. Thus, the teacher's techno-mathematical fluency seems crucial to successfully solve the problem and express the reasoning with technology. Based on the findings, we discuss the teachers' knowledge for teaching mathematical problem-solving with technology as including a particular kind of proficiency, techno--mathematical fluency for solving-and-expressing problems with technology. The limitations of the study, further research topics and implications for professional development and teacher education programmes are discussed.
Dados da obra
- Tipo
- Artigo
- Periódico
- European Journal of Science and Mathematics Education
- Ano
- 2023
- Idioma
- en
- Palavras-chave
- Secondary School Teachers; Mathematics Teachers; Knowledge Level; Problem Solving; Educational Technology; Technology Uses in Education; Computer Software; Spreadsheets; Mathematical Logic; Teacher Attitudes; Foreign Countries
- Temas
- Formação de Professores de Matemática, Resolução de Problemas, Tecnologias Digitais
- ISSN
- 2301-251X
- Acesso
- Download disponível
- Fontes
- ERIC — Education Resources Information Center
- Na Biblioteca desde
- 01/10/2026 · verificada em 03/10/2026
Como citar
ABNT
JACINTO, Hélia; CARREIRA, Susana. Knowledge for Teaching Mathematical Problem-Solving with Technology: An Exploratory Study of a Mathematics Teacher's Proficiency. European Journal of Science and Mathematics Education, 2023. Disponível em: https://eric.ed.gov/?id=EJ1377061. Acesso em: 5 nov. 2026.
APA
Jacinto, H., & Carreira, S. (2023). Knowledge for Teaching Mathematical Problem-Solving with Technology: An Exploratory Study of a Mathematics Teacher's Proficiency. European Journal of Science and Mathematics Education. https://eric.ed.gov/?id=EJ1377061
BibTeX
@article{jacinto2023,
author = {Jacinto, Hélia and Carreira, Susana},
title = {Knowledge for Teaching Mathematical Problem-Solving with Technology: An Exploratory Study of a Mathematics Teacher's Proficiency},
year = {2023},
journal = {European Journal of Science and Mathematics Education},
url = {https://eric.ed.gov/?id=EJ1377061},
language = {en}
}RIS
TY - JOUR AU - Jacinto, Hélia AU - Carreira, Susana TI - Knowledge for Teaching Mathematical Problem-Solving with Technology: An Exploratory Study of a Mathematics Teacher's Proficiency PY - 2023 JO - European Journal of Science and Mathematics Education UR - https://eric.ed.gov/?id=EJ1377061 LA - en ER -
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