The Theory and Practice of Mathematical Modeling in Geometrical Problem Based on Data Restruction

Abstract

In this paper, by means of practical mathematical instruction, three kinds of instruction modes of geometry were introduced systematically. They are “Explanation and Impart”, “Activity and Participation”, “Guidance and discovery”. In addition, the author organizes and classifies some typical geometrical models which are suitable to middle school students for the purpose of instruction and further study. On the other hand, from the students’ perspective, this paper introduces common methods and procedures of geometrical modeling. In addition, it discusses how to write a modeling thesis and the way to evaluate the model. At last an evaluation method called multi-aspect critical principle was established.