中学数学概念教学的反例探究

Exploration on Counterexamples of Mathematics Concept Teaching in Middle Schools

概念是思维的土壤,概念的掌握与理解是数学学习成败的关键,是提升学生数学核心素养的助推器。中学数学概念教学中,反例起着相当重要的作用。应用反例能凸显概念的本质属性、有效防止概念的负迁移、深透剖析概念间的关系、提升概念应用的效能,达到提升学生核心素养的目标。

Concepts are the soil of thinking.The mastery and understanding of concepts are not only the key to success of mathematics learning,but also the booster to improve students’cultivation of key competencies.Counterexamples play an important role in the teaching of mathematical concepts in middle schools.The application of counterexamples can highlight the essential attributes of concepts,effectively prevent the negative transfer of concepts,deeply analyze the relationship between concepts,and enhance the effectiveness of concept application,to achieve the goal of developing students’ core quality.