18(2)
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2025 / 8
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pp. 1 - 43
在AI時代再思考數學課程─落實人才培育的建議
Reflections on the Structure of Mathematics Courses in the Era of Artificial Intelligence
作者
于靖 Jing Yu
*
(中央研究院院士；國立清華大學數學系榮譽講座教授 Academician, Academia Sinica; Honorary Chair Professor, Department of Mathematics, National Tsing Hua University)
丁志堅 Tsu-Jen Ding
(國立清華大學環境與文化資源學系副教授 Associate Professor, Department of Environmental and Cultural Resources, National Tsing Hua University)
于靖 Jing Yu
*
中央研究院院士；國立清華大學數學系榮譽講座教授 Academician, Academia Sinica; Honorary Chair Professor, Department of Mathematics, National Tsing Hua University
丁志堅 Tsu-Jen Ding
國立清華大學環境與文化資源學系副教授 Associate Professor, Department of Environmental and Cultural Resources, National Tsing Hua University
中文摘要
從人才培育的觀點檢視數學課程綱要內容，並提出如何藉由數學課程規劃來更有效的培育未來人才。對比臺灣現行十二年國教數學課程綱要，2010年美國數學課程綱要，以及美國大學先修課程的課程綱要，在數學教育中的目標與核心能力要求及差異。我們指出數學課程內容與資訊科技課程內容的關鍵對應，也著眼各種教學工具的使用以及其可能對於數學課程的影響。我們特別介紹AI機器學習分類模型例子，呈現其背後應用到的基礎數學。
英文摘要
From the perspective of mathematics education, we analyzed curriculum guidelines and revealed how effective course planning can better serve the next generation of students. We compared Taiwan’s current 108 mathematics curriculum guidelines with the 2010 US Common Core State Standards and the Advanced Placement curriculum framework in terms of factors such as objectives and core competencies. The findings highlight the correspondence between the mathematics and information science curricula. Furthermore, the article sheds light on the use of various teaching tools and their effects on mathematics education. Specific examples of machine learning classification models are presented to illustrate the foundational mathematics involved in their implementation.
中文關鍵字
課綱;機器學習;運算思維;函式;微積分
英文關鍵字
Curriculum Standards; machine learning; computational thinking; mathematical function; mathematical calculus