谈高职数学中的“数学猜想法”

On the "Guessing Methods" in Mathematics Teaching in Higher Vocational Colleges

高职数学课程中常用的“数学猜想法”有:归纳猜想法、类比猜想法、几何直观猜想法、特殊化(一般化)猜想法、直觉猜想法、物理模拟猜想法、审美猜想法、实验猜想法等等,这些猜想方法既有联系,又有相对的独立性。恰当运用课程中的“数学猜想法,”发挥它在“思维的体操”中的作用,能够培养学生的创造性思维能力,提高学生的数学素养。

The ＂guessing methods＂ of mathematics help to cultivate students creative thinking ability and to promote their mathematics competence if used properly in mathematics teaching in higher vocational colleges. The methods include induction, analogy, geometrical object, particularization, generalization, intuition, physics simulation, aesthetics, and experiment, etc., which are different from and related with each other.