基于范希尔几何思维水平的初中数学探究型实验教学

Inquiry-based Experimental Teaching of Junior High School Mathematics Based on Van Hiele Levels of Geometric Thought

范希尔几何思维水平理论是几何教学的一个基本理论框架,在学生几何思维水平评估以及课堂教学设计等方面都有着广泛的应用。数学实验能使学生亲身参与、创造性地体验几何知识和方法之发生、发展的过程,是提升学生几何认知与非认知的重要方式。数学实验教学在实验要素、实验原则、实验路径等方面可依据范希尔理论开展设计并实施。在实践过程中,还可以在学生几何思维水平测试的科学性、教学环节与思维水平的匹配性上开展进一步研究。

Van Hiele Levels of Geometric Thought is a basic theoretical framework of geometry teaching,which has been widely applied in students’geometric thinking level assessment and classroom teaching design.Mathematical experiments can en-able students to participate in and creatively experience the formation and development of geometric knowledge and methods,which is an important way to improve students’geometric cognition and non-cognition(learning interest and efficacy).Mathemati-cal experiment teaching can be designed and implemented according to Van Hiele’s theories in terms of experimental elements,experimental principles and experimental paths.In the course of practice,further research can be done from the scientific nature of tests on student’levels of geometric thought,and the matching between phases of teaching and thinking level.