高等数学教学中的反问题及反例

The Function of Counterexample and Rhetorical Questions in Creativity Cultivation

反问题及反例推动了数学历史的发展,它代表的是一种创新思维.因此,在教学中恰当的应用反问题及反例可以帮助学生全面、准确地理解数学概念及定理,激发学习兴趣,培养思维的灵活性、缜密性和批判性,进而发展创新思维,获得创新能力.

As representatives of creative thinking, counterexamples and rhetorical questions have contributed to the development of math. To foster creativity, in teaching practice counterexamples and rhetorical questions can help students master the concepts and theorems more comprehensively and accurately, tickle their interest and help them to cultivate a more agile, meticulous and critical mind.