基于核心素养下高等代数课程教学模式探究——以矩阵乘法的定义为例

Exploration of Teaching Models for Higher Algebra Courses Based on Core Competencies——A Case Study of the Definition of Matrix Multiplication

本文将学生学情与数学核心素养相结合,探讨在高等代数课程教学中,如何潜移默化地将数学核心素养的培养融入到数学课堂教学每一步。文章以矩阵乘法的定义为例,对课程内容进行分块讲解,降低知识难度,将学生学情与知识讲解有效结合,依据各类学生特点,进行分模块训练,设立不同评价标准,利用学生争强好胜的心理激发学生学习的积极性和主动性。这不仅使学生理解了矩阵乘法的基本思想,也掌握了基本运算技能,更提升了学生数学应用意识及主动探寻并抓住数学问题本质的素养。

This paper combines students'learning situations with mathematical core competencies to explore how to subtly integrate the cultivation of mathematical core competencies into every step of the mathematics classroom in higher algebra courses.Using the definition of matrix multiplication as an example,the course content is explained in segmented blocks to reduce the difficulty of the knowledge.The teaching method effectively combines the students'learning situations with the knowledge explanation,conducts modular training according to the characteristics of different students,sets different evaluation standards,and uses students'competitive psychology to stimulate their enthusiasm and initiative in learning.This approach not only helps students understand the basic concepts of matrix multiplication and master fundamental computational skills but also enhances their awareness of mathematical applications and their ability to actively explore and grasp the essence of mathematical problems.