数学思维素养深度涵育:教学的进路与方略

The Deep Cultivation of Mathematical Thinking Competence:Teaching Paths and Strategies

发展学生数学思维素养,促使知识向素养转化,正成为中学数学教学的重要导向.结合具体教学事例,分析总结涵育学生数学思维素养的教学进路与方略:从概念教学路径涵育抽象思维素养,着力深化学生对概括过程的体验与内涵的认知;从命题教学路径涵育推理思维素养,努力提高学生进行探究发现与关系建构的能力;从应用教学路径涵育建模思维素养,致力启发学生领悟数学的思想方法与策略智慧;从数学精神层面深度涵育数学思维素养,重在引导学生求真、乐善和唯美的追求意向.

Developing students’ mathematical thinking competence and promoting the transformation of knowledge into competence are becoming an important guide to mathematics teaching in middle schools. Combining with specific teaching examples, this study analyzes and summarizes the teaching paths and strategies for cultivating students’ mathematical thinking competence. Those approaches and strategies include: from the conceptual teaching path to the cultivation of students’ abstract thinking competence to deepen their understanding of the experience and connotation of the generalization process;from the proposition teaching path to the cultivation of students’ reasoning thinking competence so as to improve their ability to explore and discover and construct relationships;from the application of teaching path to the cultivation of students’ modeling thinking competence in order to inspire them to understand the thinking methods and strategic wisdom of mathematics;and from the spiritual level of mathematics to deep cultivation of students’ mathematical thinking competence, focusing on guiding them in seeking truth, kindness and aesthetics.