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案例教学是初中数学课堂教学的重要形式之一,学生在解答分析数学问题案例的过程中,逐步对解题思路、解题方法、解题策略等方面进行归纳、总结和提炼,最终形成具有一定条理性、策略性、方法性和深刻性的解题思想策略.在初中数学问题案例解答分析活动进程中,数形结合、分类讨论、转化化归、函数方程等解题思想有着深刻广泛的应用.教学实践证明,学生在解析问题案例的过程中,进行解题思想策略的有效运用,是学生学习能力素养的重要表现,也是学生智力水平的重要体现。现就初中数学案例教学中数形结合、分类讨论、转化化归、函数方程等解题思想策略的运用进行简要论述。
Case teaching is one of the important forms of mathematics classroom teaching in junior middle school. Students in the course of answering and analyzing the cases of mathematical problems gradually summarize and refine the problem-solving ideas, problem-solving methods and problem-solving strategies, Rational, strategically, methodologically and profoundly.At the middle of the process of analyzing the case studies of math problems in junior high school, it has a profound and wide range of applications such as the combination of number and form, classification and discussion, transformation into functions, functional equations and other problem-solving ideas The teaching practice proves that when students analyze the case of the problem, the effective use of the strategy of solving the problem is an important manifestation of the students ’ability of studying and learning, and also an important manifestation of the students’ intelligence. Now on junior high school mathematics case teaching combination of digital form, classification, conversion, functional equations and other problem-solving ideas and strategies to conduct a brief discussion.