高中数学人教A版新旧教材中对正余弦定理编排的比较研究
A comparative study on the arrangement of the law of sines and cosines in the old and new versions of the peoples education edition (A version) high school mathematics textbooks
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| DOI |
10.12208/j.ije.20250148 |
| 刊名 |
International Journal of Education
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| 年，卷(期) |
2025, 7(4) |
| 作者 |
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| 作者单位 |
喀什大学数学与统计学院 新疆喀什
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| 摘要 |
本文基于《普通高中数学课程标准》（2020年修订），探讨高中数学教材人教A版之间，针对正余弦定理学习顺序的安排，并分析新版高中教材在知识点编排顺序间的合理性。新教材通过强化向量工具性、优化知识连贯性，降低学生认知难度，建议教师教学中注重向量与定理的衔接，对于提高学生学习效率和改善教师教学质量具有一定的指导价值。
|
| Abstract |
Based on the Ordinary High School Mathematics Curriculum Standards (2020 Revised Edition), this paper explores the arrangement of the learning sequence for the law of sines and cosines in the old and new versions of the Peoples Education Edition (A Version) high school mathematics textbooks. It analyzes the rationality of the new textbooks knowledge arrangement order, showing that the new edition strengthens the instrumental role of vectors, optimizes knowledge coherence, and reduces students cognitive difficulty. The study suggests that teachers should focus on connecting vectors with the theorems in teaching, which has guiding value for improving students learning efficiency and teaching quality.
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| 关键词 |
正弦定理；余弦定理；高中数学教材；向量工具性
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| KeyWord |
Law of Sines; Law of Cosines; High school mathematics textbooks; Instrumental role of vectors
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| 基金项目 |
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| 页码 |
92-100 |
龙早*.
高中数学人教A版新旧教材中对正余弦定理编排的比较研究 [J].
国际教育学.
2025; 7; (4).
92 - 100.