On The Teaching Method Of Mathematical Discovery

The discovery method of teaching regains people's attention. Which is the better one between the discovery method and receiving method? Under what conditions should we apply the discovery method? As we use the discovery method, what should we pay more attention to? To the answer of these questions, there have always been a lot of disagreements.To begin with the history of development of the discovery method, this paper emphatically analyzes the origin and changing process of its philosophical and psychological bases, shows its theoretic cores which have been expanded constantly. Combined with the background of the contemporary social development, and using the comparative method, this paper expounds the theoretical connotation of the discovery method. Through analyzing and comparing the two instructional method, the writer conclude the differences between them, then further expresses how to understand the meaningfulness and mechanicalness of the discovery method. At last, this paper gives the applying ideas, and makes an analysis of concrete teaching examples, then point out the general problem existing in practical teaching activities, then put forward the concrete applying strategies. By contrasting the genuine teaching examples, the writer raises the basic mode and key link of discovery method, at the same time, reconstruct and renew the applying process.