数学与其他科学一样,也具有两种价值:物质价值和精神价值。许多远见卓识的数学家和数学教育家“最为关心”的正是数学的精神。美国应用数学家M·克莱因在他的名著《西方文化中的数学》中指出:“数学是一种精神,一种理性的精神。正是这种精神,激发、促进、鼓舞并驱使人类的思维得以运用到最完善的程度,也正是这种精神,试图决定性地影响人类的物质、道德和社会生活;试图回 Mathematics, like other sciences, has two kinds of values: material and spiritual. It is precisely the spirit of mathematics that many farsighted mathematicians and math educators are “most concerned about.” In his famous book Mathematics in Western Culture, American application mathematician M. Klein pointed out: "Mathematics is a kind of spirit and a rational spirit, and it is this spirit that inspires, promotes, inspires and drives human beings It is also this spirit that attempts to influence the material, moral and social life of humankind decisively; attempts to return