数学教育学报2024，Vol.33Issue(1)：1-7,7.
中学数列的数学思想及其教学启示
The Mathematical Thoughts of Number of Sequence in Middle School and Its Teaching Enlightenment
摘要
Abstract
Mathematical thoughts have a profound impact on students'mathematical learning and future development.Mathematics teaching should not only emphasize knowledge,but also fully excavate the mathematical thoughts behind knowledge,and promote students'understanding through targeted questions during teaching.The mathematical thoughts of number of sequence in middle school include function thought,recursion thought,from special to general,mathematical induction,elimination and summation thought,limit thought,etc.Based on the mathematical thoughts,the following teaching implications of number of sequence are proposed:problem-driven concept teaching promotes understanding of the essence of sequence concept;examines the sequence of numbers from the perspective of function to reveal the internal relationship between them;pays attention to the teaching of recursive formulas to cultivate recursive thinking and discovery abilities;emphasize mathematical induction to expand mathematical argumentation capabilities;and induces the good idea of summation of the sequence to infiltrate the elimination and summation thought.关键词
数列/数学思想/教学启示Key words
sequence of number/mathematical thoughts/teaching enlightenment分类
社会科学引用本文复制引用
欧慧谋,黄红梅,曹广福..中学数列的数学思想及其教学启示[J].数学教育学报,2024,33(1):1-7,7.基金项目
国家"万人计划"人才项目——问题驱动的数学课堂教学理论与实践 （）
"粤港澳大亚湾国家应用数学中心"项目——问题驱动的中小学数学教育研究(2020B1515310020) （2020B1515310020）
韩山师范学院教育教学改革项目——问题驱动视角下的数学教学研究(0006/E22110) （0006/E22110）
