数形结合思想在数学教学中的应用探究

Exploration of the Application of the Concept of Combining Numbers and Shapes in Mathematics Teaching

摘要: 数形结合思想作为数学学科的核心思想之一，将抽象数学语言与直观图形相融合，实现抽象思维和形象思维的互补。其内涵包括“以形助数”和“以数解形”。在数学教学里，它意义重大，能帮助学生理解概念，例如借助数轴理解绝对值；可培养思维能力，让学生灵活转换形象与抽象思维；还能提升解决问题的能力，为解题提供新思路。文章以数学教学为背景，结合数学教学实践，系统探讨数形结合思想的理论基础、应用路径及教学策略。期望为数学教学提供参考，助力提升教学质量，促进学生数学素养的全面发展。

Abstract: The idea of combining numbers and shapes, as one of the core concepts of mathematics, integrates abstract mathematical language with intuitive graphics to achieve the complementarity of abstract thinking and visual thinking. Its connotation includes “using shapes to assist numbers” and “using numbers to solve forms”. In mathematics teaching, it is of great significance as it can help students understand concepts, such as using number lines to understand absolute values; Can cultivate thinking ability, allowing students to flexibly transform images and abstract thinking; It can also enhance problem-solving skills and provide new ideas for solving problems. This article takes mathematics teaching as the background, combined with mathematics teaching practice, systematically explores the theoretical basis, application path, and teaching strategies of the combination of numbers and shapes. Expected to provide a reference for mathematics teaching, help improve teaching quality, and promote the comprehensive development of students’ mathematical literacy.