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By the utilization of n order determinant in higher algebra as an example and based on Bruner’s four principal theorems about math learning, the learning pattern and psychological mechanism of math concepts in higher normal universities are analyzed. The progress and approach of freshmen majoring in math transiting from studying under supervison to self-study are discussed. By six steps of discovery teaching method, which are request, assumption, situation creation, generalization and summarization, practice integration and application upgrading, approaches required for teachers of higher algebra to develop student’s ways of thinking and skills in higher mathematics are analyzed. This, eventually, can achieve the goal of the transition for freshmen majoring in math from elementary ways of thinking in mathematics to higher ways of thinking in mathematics.

The Application of Discovery Teaching Method in Normal University Mathematics Teaching