试论算术中的代数思维:准变量表达式

Algebraic thinking in arithmetic:Quasi ?variable expressions

在数学教学中,小学与中学(主要是初中)的衔接问题,仅仅依赖体制上的变革根本无法解决。而在新课程标准的推进当中,由于更加强调整体性和一贯性,所以,衔接问题的解决已刻不容缓。算术中的准变量(表达式)正是解决这一问题的强有力思想。准变量表达式既动摇了算术与代数之间的传统割裂,又在算术思维与代数思维之间起到了桥梁作用。而且,它还体现了新课程标准所倡导的算法多样化之精神。准变量(表达式)思想对改进义务教育阶段数学教学有着诸多切实的现实意义。

There is a difficult problem in mathematics instruction, which is how to bring into line between elementary schools and middle schools. And this problem has been a tough job to structural reforms of mathematics instruction. Meanwhile, it is of great urgency to solve the difficulty when the new standard of mathematics curriculum is being put into effect. Quasi - variable (expressions) is a powerful thought to solve the problem, because it shakes the tranditional devide between the two areas of arithmetic and algebra, provides a bridge between arithmetic thinking and algebraic thinking, and embodies diversifing algorithm. In brief, it is very important for mathematics instruction to use quasi - variable (expressions), especially for mathematics instruction in elementary schools.