| 高中三角函数内容深度的实证研究--基于大学数学专业的学习 |
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| 引用本文： | 佘丹.高中三角函数内容深度的实证研究--基于大学数学专业的学习[J].数学教育学报,2016(6). |
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| 作者姓名： | 佘丹 |
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| 作者单位： | 南京师范大学,江苏 南京,210097 |
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| 基金项目： | 教育部“南京师范大学卓越中学教师培养改革项目” |
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| 摘 要： | 基于大学数学专业的学习，从课程标准、高考命题、大学生数学水平3个方面对高中三角函数内容深度进行定量分析和定性分析。三角函数的定义、三角公式的灵活运用未达到大学要求的水平，而课程标准删除的积化和差、和差化积公式、万能公式、余切函数等在大学数学专业学习中有着重要作用。
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| 关 键 词： | 课程标准 高考命题 大学生 三角函数 |
Empirical Study on the Depth of Content of High School Trigonometric Function Based on University Mathematics Study |
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| Abstract: | Based on university mathematics study, this paper studies the depth of Content of the high school trigonometric function from the curriculum standard, the proposition of college entrance examination and the level of College Students’ Mathematics. Quantitative and qualitative analysis have been both made more in details. The results shows that the depth of Trigonometric function’s definition and the flexible use of triangle formula did not meet the requirements of the university level, while product to sum and difference product formula, universal formulas for trigonometric transform, cotangent function which were deleted by the curriculum standard play an important role in the study of college mathematics majors. |
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| Keywords: | curriculum standard proposition of college entrance examination level of college students’ mathematics trigonometric function |
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