中学数列的数学思想及其教学启示OA北大核心CSTPCD

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.