探究性课题教学设计模式及其应用

Design Pattern of Inquiry Subject Teaching and Its Application

给出探究性课题的设计原则和设计模式,据此对三对角行列式计算问题进行探究性问题设计.以有限阶行列式的计算为基础,逐步递推到n阶行列式的计算.其问题设计体现了特殊与一般的数学思想,其方法设计体现了递推思想方法、归纳与演绎思想方法、联想类比思想方法等.同时,通过对探究问题的解答还导出三对角行列式的两个重要计算公式.把课题设计与教学相结合,可培养对学生长期起作用的洞察力、理解力以及探索和发现问题的能力.

The design principles and design patterns of the inquiry subject are given, and the design of the three diagonal determinants is carried out. Based on the calculation of determinants of finite order, gradually extend to the calculation of determinants of order n. The design reflects the special and general mathematical thinking; the meth- od of design shows the recursive thought method,induction and deduction though method, association though meth- od. At the same time, two important formulas of three diagonal determinants are derived by exploring the problem. The long-term role of insight, understanding and ability of exploration and discovery of the students are cultivated by the subject design and teaching subject combination.