Updating Calculus Teaching with AI: A Classroom Experience

IF 2.5 Q1 EDUCATION & EDUCATIONAL RESEARCH
Roberto Carlos Torres-Peña, Darwin Peña-González, Ellery Chacuto-López, Edwan Anderson Ariza, Diego Vergara
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Abstract

In the context of mathematics education, the integration of artificial intelligence (AI) in teaching calculus is revolutionizing instructional methodologies and enhancing learning experiences both inside and outside the classroom. This study explores the use of specific AI tools, including ChatGPT, MathGPT, Gemini, and Wolfram Alpha, to deepen students’ understanding of key mathematical concepts such as derivatives and rates of change through continuous interaction with a virtual tutor. By employing well-designed prompts, these tools facilitated problem-solving exercises that were verified and refined by AI, fostering both precision in calculations and conceptual clarity. Observations from the classroom implementation reveal that students not only improved their accuracy in performing derivative calculations but also developed a clear understanding of the distinctions between average and instantaneous rates of change. The AI tools created a dynamic, adaptive learning environment, providing immediate feedback and simulations that significantly boosted student engagement and motivation. These findings underscore the potential of AI to transform mathematics education by making learning more personalized and accessible, ultimately enhancing educational outcomes and preparing students for future academic and professional challenges. Furthermore, this study introduces an innovative approach to refining AI prompts and interactions, highlighting the importance of iterative improvement to enhance the quality of AI feedback. This approach is crucial for developing better problem-solving skills and ensuring a comprehensive understanding of mathematical concepts.
用人工智能更新微积分教学:课堂体验
在数学教育中,人工智能(AI)与微积分教学的结合正在彻底改变教学方法,提升课堂内外的学习体验。本研究探讨了如何使用特定的人工智能工具,包括 ChatGPT、MathGPT、Gemini 和 Wolfram Alpha,通过与虚拟导师的持续互动,加深学生对导数和变化率等关键数学概念的理解。通过采用精心设计的提示,这些工具促进了由人工智能验证和完善的解题练习,既提高了计算的精确性,又促进了概念的清晰性。课堂实施的观察结果表明,学生不仅提高了导数计算的准确性,还对平均变化率和瞬时变化率之间的区别有了清晰的认识。人工智能工具创造了一个动态、自适应的学习环境,提供即时反馈和模拟,大大提高了学生的参与度和积极性。这些研究结果凸显了人工智能改变数学教育的潜力,它使学习更个性化、更容易获得,最终提高了教育成果,并为学生应对未来的学术和职业挑战做好了准备。此外,本研究还介绍了一种改进人工智能提示和互动的创新方法,强调了迭代改进对提高人工智能反馈质量的重要性。这种方法对于培养学生更好地解决问题的能力和确保学生全面理解数学概念至关重要。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Education Sciences
Education Sciences Social Sciences-Education
CiteScore
4.80
自引率
16.70%
发文量
770
审稿时长
11 weeks
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