妙用数学推理 发展数学思维

Using Mathematical Reasoning to Develop Mathematical Thinking

推理能力是学生重要的思维策略,影响着学生数学知识的建构。数学推理蕴含于数学探究过程之中,它是学生在不断地数学实践中逐渐形成的数学能力。教师在引导学生进行数学推理时,要紧扣学生的思维认知,使学生在推理中发现问题、解决问题,进而获得推理能力的提升。

Reasoning ability is an important thinking strategy for students,which affects the construction of students’ mathematical knowledge. Mathematical reasoning is contained in the process of mathematical inquiry,which is the mathematical ability gradually formed by students in the constant mathematical practice. When teachers guide students to make mathematical reasoning,they should keep close contact with students’ thinking cognition,so that students can find and solve problems in reasoning,and then improve their reasoning ability.