高等数学研究2024,Vol.27Issue(5) :44-47,63.DOI:10.3969/j.issn.1008-1399.2024.05.017

对矩阵的秩教学的几点思考

Some Thoughts on Teaching of Matrix Rank

王亚林 方晓峰 赵志辉
高等数学研究2024,Vol.27Issue(5) :44-47,63.DOI:10.3969/j.issn.1008-1399.2024.05.017

对矩阵的秩教学的几点思考

Some Thoughts on Teaching of Matrix Rank

王亚林 1方晓峰 1赵志辉1
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作者信息

  • 1. 火箭军工程大学基础部,陕西西安 710025
  • 折叠

摘要

本文从矩阵秩的历史出发,溯源求根;以矩阵秩的知识脉络为基,建构教学框架;融合现代教学手段和技术,辅助落实教学效果;挖掘知识应用,体现理论联系实际.通过对知识铺垫、概念引入、软件计算和应用探究四个方面的综合考虑,使学生感知知识的连续性、感受知识的趣味性、体验知识的直观性和体会知识的应用性,进而掌握蕴含于数学知识中的思想方法,提升运用数学知识解决实际问题的综合能力,达到预期的教学效果.

Abstract

This paper explores the history and foundational concepts of matrix rank,constructing a teach-ing framework rooted in this knowledge.By integrating modern teaching methods and technologies,the paper seeks to enhance the learning experience and bridge the gap between theory and practice.The ap-proach covers four key aspects:knowledge foundation,concept introduction,software-based calcula-tions,and application exploration.This comprehensive methodology helps students appreciate the continu-ity,interest,intuitiveness,and practical applications of mathematical concepts.It also aims to develop their critical thinking skills and improve their ability to apply mathematical knowledge to solve real-world problems,thereby achieving the desired educational outcomes.

关键词

矩阵的秩/教学设计/应用

Key words

matrix rank/teaching design/application

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出版年

2024
高等数学研究
西北工业大学 陕西省数学会

高等数学研究

影响因子:0.235
ISSN:1008-1399
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