张昆, 王鹤婷, 朱嘉琪. 正弦定理教学设计的新视角——萌生和谐美审美意向J. 内江师范学院学报, 2026, 41(6): 1-7. DOI: 10.13603/j.cnki.51-1621/z.2026.06.001
    引用本文: 张昆, 王鹤婷, 朱嘉琪. 正弦定理教学设计的新视角——萌生和谐美审美意向J. 内江师范学院学报, 2026, 41(6): 1-7. DOI: 10.13603/j.cnki.51-1621/z.2026.06.001
    ZHANG Kun, WANG Heting, ZHU Jiaqi. A new perspective on the teaching design of the Sine Theorem: cultivating the aesthetic intention of harmonious beautyJ. Journal of Neijiang Normal University, 2026, 41(6): 1-7. DOI: 10.13603/j.cnki.51-1621/z.2026.06.001
    Citation: ZHANG Kun, WANG Heting, ZHU Jiaqi. A new perspective on the teaching design of the Sine Theorem: cultivating the aesthetic intention of harmonious beautyJ. Journal of Neijiang Normal University, 2026, 41(6): 1-7. DOI: 10.13603/j.cnki.51-1621/z.2026.06.001

    正弦定理教学设计的新视角——萌生和谐美审美意向

    A new perspective on the teaching design of the Sine Theorem: cultivating the aesthetic intention of harmonious beauty

    • 摘要: 三角形形象符合学习主体的和谐美审美意向,这种和谐美审美意向会促使学习主体认识到,表达三角形的数学符号所构成的表达式也一定符合和谐美审美意向.这就是关于三角形三角的正弦值与其所对边之比形成比例式,具有正弦定理的这种和谐的形式表达式,论证这一表达式所构成的命题为真命题的方法,也一定是符合和谐美审美意向的整体性的方法.这些认识,为数学教师进行正弦定理的教学设计及课堂实施提供了一种有效的方法,从而提高了数学课堂教学的有效性.

       

      Abstract: The image of the triangular conforms to the aesthetic intention of harmony of the learning subject. This aesthetic intention of harmony will prompt the learning subject to recognize that the mathematical symbols expressing the triangle must also conform to the aesthetic intention of harmony. This is the proportion formed by the cosine of the triangle and the ratio of the opposite side, which has the harmonious form expression of the sine theorem. The method of proving the proposition constituted by this expression to be a true proposition must also be a method that conforms to the aesthetic intention of harmony and integrity. These understandings provide an effective method for mathematics teachers to design and implement the teaching of the sine theorem in the classroom, thereby enhancing the effectiveness of mathematics classroom teaching.

       

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