数学史视角下“多边形的面积”教学新探

ANew Probe into the Teaching of"Polygon Area"from the Perspective of Mathematical History

发展学生数学学科核心素养是数学课程目标的集中体现,旨在使学生掌握数学知识和方法,领悟数学思想和精神,使他们会用数学眼光观察世界、会用数学思维思考世界、会用数学语言表达世界。图形几何教学承载的数学素养培养点包括几何直观、空间观念、推理能力。将数学史融入多边形面积教学实践,有助于理解面积主题的历史发展序、学科逻辑序、学生认知序,引导学生利用已有的事实和结论去发现新的结论,养成讲道理、有条理的思维习惯,培养他们的数学学科核心素养。

The development of students’ mathematical core literacy is the concentrated embodiment of the goal of mathematics curriculum. It aims to enable students to master mathematical knowledge and methods, understand mathematical thought and spirit, and enable them to observe the world with mathematical vision, think about the world with mathematical thinking, and express the world with mathematical language. The training points of mathematical literacy carried by graphic geometry teaching include geometric intuition, spatial concept and reasoning ability. Integrating the history of mathematics into the teaching practice of polygon area will help to understand the historical development order,discipline logic order and students’ cognitive order of area theme, guide students to use the enclosed facts and conclusions to find new conclusions, develop reasonable and orderly thinking habits, and cultivate their core literacy of mathematics.