高中数学教材“组合问题”的编排

Arrangement of Combination Problems in the High School Mathematics Textbook

以"编排分布、素材选择、呈现方式、编写模式"为分析框架,研究人教版高中数学中的组合问题.整体上,编排特点是隐性和显性贯串、组块和分散结合;素材的选择多是社会经验和学科知识;呈现方式符合数学本身的要求和高中生的身心发展特点,旨在发展学生的数学思维;教材编写模式单一.可通过挖掘传统知识间的组合思想和用组合丰富传统内容的内涵两种途径,促进组合问题和传统内容的相辅相成.

Based on the analysis framework of'arrangement distribution,material selection,presentation mode and writing mode',this paper analyzed the arrangement of combination problems in the high school mathematics.Overall,the choreography was characterized by combining implicit arrangement with explicit arrangement,chunk arrangement with scattered arrangement;The selection of materials included two parts:social experience and mathematical discipline;The presentation was in accordance with the mathematical requirement and the physical and mental development characteristics of high school students,aiming at developing students’mathematical thinking;The textbook was written in a single mode.By mining the combination of thought in traditional knowledge and enriching the intension of traditional content,the combination problems and the traditional content were mutually reinforcing.