小学数学教学中数学思维的培养策略研究
摘 要：基于国内外相关理论与实践研究成果，本文采用文献分析、问卷调查和案例研究相结合的方法，对当前小学数学教学中数学思维培养的现状进行深入剖析，并提出针对性改进措施。研究发现，传统教学模式在激发学生数学思维方面存在不足，而通过创设问题情境、注重探究性学习以及强化师生互动等策略，能够显著促进学生数学思维的发展。此外，本研究创新性地提出了“分层递进式”教学法，该方法根据学生的认知水平设计由浅入深的学习任务，从而实现个性化培养。实验结果表明，这一方法不仅提高了学生的数学成绩，还增强了其数学思维的灵活性与创造性。
关键词：数学思维；小学数学教学；分层递进式教学法；问题情境；探究性学习
Strategies for Cultivating Mathematical Thinking in Elementary Mathematics Education
Abstract: Based on the research results of relevant theory and practice at home and abroad, this paper uses the method of combining literature analysis, questionnaire survey and case study to deeply analyze the current situation of mathematical thinking training in primary school mathematics teaching, and puts forward targeted improvement measures. It is found that the traditional teaching mode has shortcomings in stimulating students 'mathematical thinking, and the development of students' mathematical thinking can be significantly promoted by the strategies of creating problem situations, paying attention to inquiry learning and strengthening the interaction between teachers and students. In addition, this study innovatively proposed the "hierarchical and progressive" teaching method, which designs learning tasks from shallow to deep according to students' cognitive level, so as to realize personalized cultivation. The experimental results show that this method not only improves the students' mathematical performance, but also enhances the flexibility and creativity of their mathematical thinking.
Keywords: Mathematical Thinking；Primary School Mathematics Teaching；Layered Progressive Teaching Method；Problem Situation；Inquiry-Based Learning
目 录
引言 1
一、数学思维培养的理论基础 2
（一）数学思维的基本概念 2
（二）小学生数学思维的特点 3
（三）数学思维与学习能力的关系 3
（四）数学思维培养的教育意义 4
（五）理论框架对教学的指导 5
二、当前小学数学教学现状分析 5
（一）小学数学课程目标解读 5
（二）数学思维在教学中的体现 6
（三）教学实践中存在的问题 7
（四）学生数学思维发展的障碍 7
（五）提升教学效果的关键因素 8
三、数学思维培养的具体策略研究 9
（一）问题驱动式教学设计 9
（二）情境创设与思维启发 9
（三）合作学习促进思维发展 10
（四）数学游戏与思维训练结合 11
（五）多元评价提升思维能力 11
四、数学思维培养的实施路径探索 12
（一）教师专业素养的提升 12
（二）教学资源的优化配置 13
（三）家校合作推动思维发展 13
（四）技术支持下的教学创新 14
（五）长效机制的构建与完善 14
结论 15
参考文献 17
摘 要：基于国内外相关理论与实践研究成果，本文采用文献分析、问卷调查和案例研究相结合的方法，对当前小学数学教学中数学思维培养的现状进行深入剖析，并提出针对性改进措施。研究发现，传统教学模式在激发学生数学思维方面存在不足，而通过创设问题情境、注重探究性学习以及强化师生互动等策略，能够显著促进学生数学思维的发展。此外，本研究创新性地提出了“分层递进式”教学法，该方法根据学生的认知水平设计由浅入深的学习任务，从而实现个性化培养。实验结果表明，这一方法不仅提高了学生的数学成绩，还增强了其数学思维的灵活性与创造性。
关键词：数学思维；小学数学教学；分层递进式教学法；问题情境；探究性学习
Strategies for Cultivating Mathematical Thinking in Elementary Mathematics Education
Abstract: Based on the research results of relevant theory and practice at home and abroad, this paper uses the method of combining literature analysis, questionnaire survey and case study to deeply analyze the current situation of mathematical thinking training in primary school mathematics teaching, and puts forward targeted improvement measures. It is found that the traditional teaching mode has shortcomings in stimulating students 'mathematical thinking, and the development of students' mathematical thinking can be significantly promoted by the strategies of creating problem situations, paying attention to inquiry learning and strengthening the interaction between teachers and students. In addition, this study innovatively proposed the "hierarchical and progressive" teaching method, which designs learning tasks from shallow to deep according to students' cognitive level, so as to realize personalized cultivation. The experimental results show that this method not only improves the students' mathematical performance, but also enhances the flexibility and creativity of their mathematical thinking.
Keywords: Mathematical Thinking；Primary School Mathematics Teaching；Layered Progressive Teaching Method；Problem Situation；Inquiry-Based Learning
目 录
引言 1
一、数学思维培养的理论基础 2
（一）数学思维的基本概念 2
（二）小学生数学思维的特点 3
（三）数学思维与学习能力的关系 3
（四）数学思维培养的教育意义 4
（五）理论框架对教学的指导 5
二、当前小学数学教学现状分析 5
（一）小学数学课程目标解读 5
（二）数学思维在教学中的体现 6
（三）教学实践中存在的问题 7
（四）学生数学思维发展的障碍 7
（五）提升教学效果的关键因素 8
三、数学思维培养的具体策略研究 9
（一）问题驱动式教学设计 9
（二）情境创设与思维启发 9
（三）合作学习促进思维发展 10
（四）数学游戏与思维训练结合 11
（五）多元评价提升思维能力 11
四、数学思维培养的实施路径探索 12
（一）教师专业素养的提升 12
（二）教学资源的优化配置 13
（三）家校合作推动思维发展 13
（四）技术支持下的教学创新 14
（五）长效机制的构建与完善 14
结论 15
参考文献 17
