Theoretical Analysis and Practical Attempt of Recursion Principle
The basic idea of recursion principle is implicit in mathematical knowledge and problem-solving process.Constructing a recursive structure is the key step in using recursive method to solve problems.It is also the strategy and technique of recursion in problem-solving.Characterized with structuring,conditionality,finiteness and dialectic,recursion principle can be used to train and develop students'thinking ability effectively by strengthening the mathematical concepts,thinking methods,and strategic models underlying the recursive principle.Thus,the teaching approach can gradually move from teacher-led thinking to student self-control thinking,and students'thinking ability and cognitive structure of mathematics can be constantly improved.
recursion principlemathematical thinkingproblem-solving training
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