基于数学核心素养的球缺体积公式探讨  

Segment Volume Formula Based on Mathematical Core Literacy

作　　者：赵艳辉 廖春艳 李娜 王梦丹 

机构地区：[1]湖南科技学院理学院,湖南 永州

出　　处：《创新教育研究》2025年第1期18-25,共8页Creative Education Studies

基　　金：湖南省普通高等学校教学改革研究项目(项目编号:HNJG-20231109),湖南省普通高等学校教学改革研究项目(项目编号:202401001372)。

摘　　要：数学核心素养是数学教师从事中小学数学教育教学工作的基本素养,是数学专业师范生形成教学能力的前提条件。本文从培育数学专业师范生的核心素养出发探讨怎样求球缺体积公式,使学生学会利用所学专业知识多角度分析和解决数学问题,加深对《数学分析》课程中积分学内容的整体理解,使所学积分学知识形成一个连贯的整体,提高对积分学内容的认识。进一步培养学生的直观想象、逻辑推理、数学运算等数学核心素养。Mathematical core literacy is the basic literacy for mathematics teachers to engage in mathematics education and teaching in primary and secondary schools, and is a prerequisite for normal students majoring in mathematics to form teaching abilities. Segment volume formula is discussed from cultivating the core literacy of normal students majoring in mathematics in the paper, so that students can use their professional knowledge to analyze and solve mathematical problems from multiple perspectives, deepen their overall understanding of the integration content in the course of Mathematical Analysis, form a coherent whole of the integration knowledge learned, and improve their understanding of the integration content, further cultivate students’ mathematical core literacy such as intuitive imagination, logical reasoning, and mathematical operations.

关 键 词：数学核心素养 定积分 二重积分 三重积分 球缺体积公式 

分 类 号：G63[文化科学—教育学]