基于HPM视角的中职数学教材的编写

Study on Compiling Mathematics Textbooks for Secondary Vocational Education Based on the Perspective of HPM

众所周知,数学史具有重要的教育价值。历史发生原理和再创造理论是HPM视角下数学教材编写的理论基础。数学史融入数学教材的方式有附加式、复制式、顺应式以及重构式4类。以“等比数列的前n项和公式”为例,探讨基于HPM视角的中职数学教材的编写。基于HPM视角编写的中职数学教材将数学家创造数学的过程重现在学生面前,兼顾了逻辑、心理和历史知识,更符合学生的学习规律与认知规律。

It is well-known that the history of mathematics has important educational value.The principle of historical occurrence and the theory of re-creation are the theoretical basis for compiling mathematics textbooks from the perspective of HPM.There are four ways of fusing the history of mathematics into the mathematics textbooks such as additional type,copy type,adaptive type,and reconstruction type.Then,the paper tries to take"the sum of the first n terms of a geometric sequence"as an example so as to expound the compilation of secondary vocational mathematics textbooks based on the HPM perspective.As all knows,the secondary vocational mathematics textbook compiled from the perspective of HPM reproduces the process of mathematicians,who can create mathematics in front of students and Consider logic,psychology,and history.There is no doubt that such treatment could comply with students'learning laws and cognitive laws.