The application of the thought of combining numbers and forms in the teaching of algebra in junior high school
数形结合思想在初中代数教学中的方法应用

摘要

数形结合是一种重要的数学思想，将数学中抽象的数量关系与具体直观的图像结合起来，包括“以形助数”和“以数辅形”两个方面。这种思想通过将形的具体明确地表现出来，反映了数量之间的关系，同时利用数来具体描述形的本质内涵，实现了抽象思维与形象思维的有机结合。通过将数学问题与图形相结合，可以使得复杂的问题变得更加简单，同时也可以将抽象的问题具体化，从而更容易理解和解决。数形结合思想不仅可以用于解决数学问题，还可以对思维能力的提升有很大的帮助。在实践中，学生需要不断地探索和尝试，寻找最优的解决方案，从而提高自己的数学能力和思维能力。数形结合思想是中学数学中一种非常重要的数学思想。通过将数学问题与图形相结合，可以更容易地理解和解决数学问题，同时也可以提高学生的数学能力和思维能力，从而更好地应对未来的挑战。

Abstract

The combination of numbers and shapes is an important mathematical idea that combines abstract quantitative relationships in mathematics with concrete and intuitive images, including two aspects: "using shapes to assist numbers" and "using numbers to assist shapes". This idea reflects the relationship between quantity by clearly expressing the concrete nature of form, while using numbers to describe the essence of form, achieving an organic combination of abstract thinking and visual thinking. By combining mathematical problems with graphics, complex problems can be made simpler, while abstract problems can also be concretized, making it easier to understand and solve. The idea of combining numbers and shapes can not only be used to solve mathematical problems, but also greatly help improve thinking abilities. In practice, students need to constantly explore and try to find the optimal solution, in order to improve their mathematical and thinking abilities. The idea of combining numbers and shapes is a very important mathematical idea in middle school mathematics. By combining mathematical problems with graphics, it is easier to understand and solve mathematical problems, while also improving students' mathematical and thinking abilities, thus better addressing future challenges.