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所有的概念都有其内涵与外延,内涵一词在《现代汉语词典》中定义为“一个概念所反映的事物的本质属性的总和”。因此,数学的内涵就是反映数学本质属性的总和,也就是流行的提法——“数学味”。数学是一个多元复合体,其内涵包含理论、方法、问题和符号语言,经过千百年的演绎、抽象、扩展,形成了一套经验知识,构成了一定的理论体系。数学内涵的本质是模式的科学。作为一门科学,数学的内涵没有小学、中学和大学之分,但在小学数学课堂教学中,应突出
All concepts have their connotation and denotation. The meaning of connotation is defined in Modern Chinese Dictionary as “the sum of the essential attributes of things reflected by a concept.” Therefore, the connotation of mathematics is to reflect the essence of the nature of mathematics, that is, the popular formulation - “mathematical taste ”. Mathematics is a pluralistic complex. Its connotation includes theory, method, problem and symbolic language. After thousands of years of deduction, abstraction and expansion, mathematics has formed a set of empirical knowledge and formed a theoretical system. The essence of mathematical connotation is the science of mode. As a science, there is no connotation of mathematics in primary, secondary and university, but in primary mathematics classroom teaching, should be highlighted