初中代数思维培养的教学模式探究 -数学与应用数学专业

摘要

本研究聚焦初中代数思维培养的教学模式创新，针对当前代数教学中学生思维发展不足的问题展开系统探究。研究采用行动研究法，结合课堂观察、问卷调查和访谈等多种研究方法，构建了“情境-问题-探究-反思”四维教学模式。该模式以真实问题情境为切入点，通过问题驱动激发学生思维活力，借助探究活动深化概念理解，并辅以反思环节促进思维结构化。研究发现，实验组学生在代数思维能力测试中的表现显著优于对照组，尤其在抽象概括、符号运算和逻辑推理等核心维度上提升明显。同时，学生对代数学科的兴趣度和自信心均有显著提高。本研究的创新之处在于突破了传统代数教学的单一知识传授模式，构建了符合初中生认知特点的思维培养框架，为代数教学提供了可操作的实施路径。研究结果表明，基于思维发展的教学模式能有效促进学生的代数素养提升，对改进初中代数教学实践具有重要参考价值。

关键词：代数思维培养；教学模式创新；初中数学教学

Research on the teaching mode of junior middle school algebra thinking training

Abstract

This research focuses on the innovation of the teaching mode of junior middle school algebra thinking training, aiming at the problem of inadequate thinking development of middle school students in current algebra teaching. The four-dimensional teaching model of "situation-question-inquisition-reflection" is constructed by using action research method and combining classroom observation, questionnaire survey, interview and other research methods. This model takes the real problem situation as the starting point, stimulates the thinking vitality of students through question driving, deepensconceptual understanding through inquiry activities, and promotes the thinking structure with reflection. It was found that students in the experimental group performed significantly better than those in the control group in the test of algebraic thinking ability, especially in the core dimensions of abstract generalization, symbolic operation and logical reasoning. At the same time, students' interest in and confidence in algebra have improved significantly. The innovation of this study is that it breaks through the single knowledge teaching mode of traditional algebra teaching, constructs a thinking training fr amework that conforms to the cognitive characteristics of junior high school students, and provides an operable implementation path for algebra teaching. The results show that the teaching mode based on thinking development can effectively promote students' algebra literacy, and has important reference value for improving junior middle school algebra teaching practice.

Keywords: Algebraic thinking training; Teaching model innovation; Junior middle school mathematics teaching

摘要 I

Abstract II

目录 III

1 绪论 1

1.1 研究背景与意义 1

1.2 初中代数思维培养教学模式研究现状 1

2 初中代数思维的内涵与特征分析 3

2.1 代数思维的核心要素解析 3

2.2 初中生代数思维发展特点 4

2.3 代数思维培养的关键问题 5

3 初中代数思维培养的教学模式构建 6