数学抽象素养的建构策略探究

Exploration on the Construction Strategy of Mathematical Abstract Literacy

数学抽象是数学学习的一种重要思想方法,通过数学抽象可以反映数学的本质特征,让高中生形成理性思维,使得学习数学成为高度概括、表达准确、结论一般、有序多级的系统过程。由于概念形成过程是最典型的数学抽象过程,因此本文旨在探究如何在高中概念数学中培养数学抽象素养,帮助高中生理解数学本质。在概念教学中可通过以直观素材为先导,引入数学概念;以探索数学本质为宗旨,经历数学抽象;以充分变式为关键,突出本质特征;以比较正例反例为补充,完善数学系统;以正确的语言为突破,强化抽象实践;以恰当的总结反思为支撑,积累抽象经验等6个教学策略培养高中生数学抽象核心素养,有助于高中生真正理解数学知识的本质,提升思考问题和解决问题的能力。

Mathematical abstraction is an important thought method of mathematics learning. Through ma-thematical abstraction can reflect the essential characteristics of mathematics, let high school students form rational thinking, and make learning mathematics become a systematic process of highly generalization, accurate expression, general conclusion, and orderly multilevel. Since the concept formation process is the most typical mathematical abstraction process, this paper aims to explore how to cultivate abstract mathematics in high school conceptual mathematics and help high school students understand the essence of mathematics. In concept teaching, we can take the intuitive material as the guide, introduce mathematical concepts;with the purpose of exploring the essence of mathematics, experience mathematical abstraction;take sufficient variation as the key to highlight essential characteristics;complement the comparison of positive and negative examples to improve the mathematical system;focus on correct language 6 teaching strategies, such as the accumulation of abstract experience and the support of appropriate summary and reflection, cultivate high school students’ core literacy of mathematical abstraction, help high school students truly understand the nature of mathematical knowledge, and improve their ability to think and solve problems.