AI Responses to Challenging Problems and Educator Responses to AI Availability
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Resumo
This article considers the rise of generative Artificial Intelligence (GenAI) in the context of secondary mathematics education, focusing on its responses to cognitively demanding tasks and the pedagogical implications of these interactions. Using tools such as ChatGPT (OpenAI) and Gemini (Google), we investigate how GenAI engages in complex mathematical reasoning and problem-solving beyond the capabilities of traditional digital tools. Our analysis reveals that, although GenAI thus far tends to typically produce tasks of low cognitive demand, it clearly exhibits an ability to respond to cognitively-demanding mathematical tasks. We share examples of GenAI responses to three tasks from secondary mathematics, and, although the GenAI made substantial errors, it also demonstrated an ability to revise and refine its work with prompting. For educators faced with GenAI, we argue against banning its use and instead propose two instructional strategies to promote student learning in this new AI era: (1) fostering student interaction with GenAI to explore and expand on mathematical concepts and (2) encouraging students to critically evaluate and discuss GenAI-generated solutions to mathematical problems. These instructional strategies aim to enhance students' mathematical understanding and critical thinking skills by using GenAI as a tool that can promote substantive student involvement and meaningful learning. (An initial draft of this abstract was produced by ChatGPT 4.0, but GenAI was not used in any other way for this article, other than as an interactive partner within the excerpts as clearly marked.)
Dados da obra
- Tipo
- Artigo
- Periódico
- Digital Experiences in Mathematics Education
- Ano
- 2025
- Idioma
- en
- Palavras-chave
- Artificial Intelligence; Secondary School Mathematics; Computer Uses in Education; Mathematics Education; Problem Solving; Educational Strategies
- Temas
- Resolução de Problemas
- 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
MCGALLIARD, William; OTTEN, Samuel. AI Responses to Challenging Problems and Educator Responses to AI Availability. Digital Experiences in Mathematics Education, 2025. Disponível em: http://dx.doi.org/10.1007/s40751-024-00167-4. Acesso em: 5 nov. 2026.
APA
McGalliard, W., & Otten, S. (2025). AI Responses to Challenging Problems and Educator Responses to AI Availability. Digital Experiences in Mathematics Education. http://dx.doi.org/10.1007/s40751-024-00167-4
BibTeX
@article{mcgalliard2025,
author = {McGalliard, William and Otten, Samuel},
title = {AI Responses to Challenging Problems and Educator Responses to AI Availability},
year = {2025},
journal = {Digital Experiences in Mathematics Education},
url = {http://dx.doi.org/10.1007/s40751-024-00167-4},
language = {en}
}RIS
TY - JOUR AU - McGalliard, William AU - Otten, Samuel TI - AI Responses to Challenging Problems and Educator Responses to AI Availability PY - 2025 JO - Digital Experiences in Mathematics Education UR - http://dx.doi.org/10.1007/s40751-024-00167-4 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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