AI 中文总结
该研究开发了一款辅助数学探究式学习的自主在线应用，通过自适应提问教授函数有界性，测试显示其能提升多数匈牙利中学生的理解水平，或可补充传统教学，为AI教育系统提供探究式方法参考。
AI 中文摘要
本文介绍了一款自主式在线应用，用于在无法开展线下教学时支持数学探究式学习。该应用通过自适应提问教授函数有界性概念，要求学生主动解题，无需教师干预。研究以92名备考高级结业考试的匈牙利中学生为测试对象，基于布鲁姆教育目标分类法的评估显示，多数学生达到至少中等理解水平，不少学生达到更高认知层级。结果表明此类应用可辅助学习并补充传统教学，且未来基于AI的教育系统或可从类似探究式方法中获益，该方法侧重主动思考与引导式解题，而非被动生成答案。
英文摘要
This paper presents an autonomous online application designed to support inquiry-based learning in mathematics when in-person instruction is not possible. The application teaches the concept of boundedness of functions through adaptive questioning, requiring active problem solving without teacher intervention. It was tested with 92 Hungarian secondary school students preparing for the advanced-level final examination. Assessment based on Bloom's taxonomy showed that most students achieved at least a medium level of understanding, with many reaching higher cognitive levels. The results suggest that such applications may support learning and complement traditional instruction. Moreover, the study suggests that future AI-based educational systems may benefit from similar inquiry-oriented approaches, emphasizing active thinking and guided problem solving rather than passive answer generation.
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