数学解题与元解题的训练策略

解题在数学学习活动中具有不可替代的作用,解题不仅包括了对数学知识的应用,还包括了对解题过程的认知(即元解题).要提高数学解题能力就必须进行解题和元解题的训练.解题训练的策略有:激活原有认知结构、表征问题、目标导向、拓展延伸等;元解题训练的方法主要有教师进行元解题思路示范、学生自我提问方式和写数学体会等.

Training Strategies for Mathematical Problem-Solving and Meta-Problem Solving

Solving problem plays an irreplaceable role in mathematical studying activities.Solving problem includes not only the use of the mathematical knowledge,but also the cognition of the problem-solving process(i.e.meta-problem solving).In order to improve the mathematical problem-solving ability,it is necessary to carry on training for problem-solving strategy and original problem-solving strategy.The strategies for problem-solving training include activating the original cognitive structure,symbolizing problems,expanding and extending and having a goal-oriented mind.The methods of meta-problem solving training mainly include the demonstration of the original problem-solving thinking by teachers,the self-questioning approach of students,learning from experience of solving mathematical problems,etc.