学生求解函数应用题的障碍及教学对策——以一道函数应用题为例

Cognitive barriers of students to solving function application problems and teaching countermeasures——A function word problems as an example

函数应用题是函数基础知识的实际应用,又是函数基础知识的升华。学生求解函数应用题的过程,实际上是经历"从实际问题出发,抽象概括出数学模型,推理演算得到相应的解,还原说明得到实际问题的解"的问题解决模式的过程。在函数的教学过程中,要帮助学生克服各种障碍,加强学生运用函数的知识解决相关的实际问题的意识,逐步培养学生数学地发现问题、分析并解决实际问题的能力,发展数学应用意识和创新意识。

Functions word problems is the practical application and sublimation of the function's basic knowledge.Student solving function among the process,is actually experience'abstract starting from the actual problem,the mathematical model of reasoning algorithms,the corresponding solution reduction that get the solution of practical problems'in the process of problem solving model.In the function of the teaching process,to help students overcome obstacles,to strengthen the student to utilize the function of the consciousness of knowledge to solve practical problems,and gradually cultivate students' mathematics to find problems,analysis and solution actual problem ability,the development of mathematics application consciousness and innovation consciousness.