学生数学能力培养的实践探索

Practice and Exploration on the Cultivation of Students' Mathematical Ability

培养学生理性思维能力和数学应用能力是数学的根本任务,也是培养学生批判性思维和创新能力的基础。因此,数学教学中要遵循两个原则:一是把基本的定义、法则、定理等知识讲透,使学生打好扎实的基础;二是以问题解决为核心,让学生在独立提出问题、解决问题过程中应用数学知识,发展创新能力。实践表明,利用概念学习锻炼学生的逻辑思维能力、在细节质疑中培养理性思维习惯、在研究性学习中培养创新思维是发展学生数学能力的有效途径。

Cultivating students＇ rational thinking ability and mathematics application ability is the basic task of the mathematics subject and it is also the foundation of cultivating students＇ ability of critical thinking and innovation.Therefore,two principles need to be followed in mathematics teaching.The first one is to help students fully understand the basic definitions,rules and theorems so as to enable students to lay a solid foundation.The second one is to enable students to practice mathematical knowledge during the process of independently raising questions and solving problems in order to develop their innovative ability.Practice shows that it is an effective way to develop students＇ ability to learn mathematics by using concept learning to train students＇ logical thinking ability,questioning details to cultivate students＇ rational thinking habit and cultivating innovative thinking ability in research study.