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纵观数学发展史,“空间与几何”孕育了数学的灵慧,成就了数学天职:数学是研究空间形式和数量关系的科学。“空间观念”恰是深入“空间与几何”领域的数学慧眼,无疑是学好数学应具备的重要条件,新课标列此为十大核心概念之一。当下对“空间观念”阐释仅限于能力角度:(1)根据物体特征抽象出几何图形。反之,由几何图形想象出所描述的实际物体;(2)想象出物体的方位和相互之间位置关系;(3)描述图形的运动和变化;(4)依据语言的描述画出图形等。
Throughout the history of mathematics development, “space and geometry” gave birth to the wisdom of mathematics, achievement of mathematics vocation: mathematics is to study the relationship between spatial form and quantity of science. “Space concept ” is precisely the “space and geometry ” field of mathematical wisdom, is undoubtedly an important condition for learning mathematics should have, the new curriculum standard is one of the top ten core concepts. The current interpretation of “space concept ” is limited to the ability point of view: (1) Abstraction of geometry based on object features. On the contrary, the actual objects described by the geometric images are imagined; (2) The orientation and the positional relationship between the objects are imagined; (3) The movements and changes of the graphics are described; (4) The graphics are drawn according to the language description.