文章探讨了波利亚解题理论在初中几何教学中的应用。波利亚解题理论包括弄清问题、拟定计划、执行计划、回顾反思四个步骤,为初中几何教学提供了系统方法和思路。在理论层面,该理论源于波利亚对数学教育的深入研究,在全球范围内广泛传播并产生深远影响。在实践应用方面,其在初中几何证明题发挥重要作用。如在证明题中利用等腰三角形简化问题、应用定义进行转化;在教学效果上,显著提升了学生的思维能力,培养了逻辑推理能力和创新思维,同时提高了教学质量,增强了学生学习兴趣。波利亚解题理论在初中几何教学中具有重要应用价值,为提高学生几何解题能力和培养数学素养提供有力支持。This paper discusses the application of Polya’s problem-solving theory in junior high school geometry teaching. Polya’s problem-solving theory includes four steps: clarifying the problem, formulating the plan, implementing the plan, and reviewing and reflecting, which provides a systematic method and ideas for junior high school geometry teaching. At the theoretical level, the theory stems from Polya’s in-depth research on mathematics education, which has been widely disseminated and has had a profound impact on the world. In terms of practical application, it plays an important role in junior high school geometry proof problems. For example, in the proof question, the isosceles triangle is used to simplify the problem and apply the definition for transformation;in terms of teaching effect, it has significantly improved students’ thinking ability, cultivated logical reasoning ability and innovative thinking, improved teaching quality, and enhanced students’ interest in learning. Polya’s problem-solving theory has important application value in junior high school geometry teaching, which provides strong support for improving students’ geometric problem-solving ability and cultivating mathematical literacy.
暂无评论