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

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。

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.