初中数学教科书中“几何直观”的设计类型及原则

The Design of“Geometric Intuition”in Junior High School Mathematics Textbooks:Types and Principles

几何直观兼具认识论和方法论两方面的教育价值.初中数学教科书中几何直观的类型有直观表征、直观分析、直观解释和直观发现.初中数学教科书几何直观的设计应遵循以下原则:准确性,既是知识工具更是能力素养;整体性,兼顾内容和类型避免出现偏差;渐进性,问题表述的类型和图形的明晰程度要有层次;反思性,要有反思性的问题和活动.

Geometric intuition has the educational value of both epistemology and methodology.The types of geometric intuition in junior high school mathematics textbooks are as follows:intuitive representation,intuitive analysis,intuitive interpretation,and intuitive discovery.The geometric intuition design of junior high school mathematics textbooks should follow the principles of:accuracy,both knowledge tools and ability literacy;integrity,considering both content and type to avoid deviation;gradualness,with the type of problem representation and the clarity of the graphics being hierarchical;and reflective,whereby there must be reflective questions and activities.