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在课堂教学中,数学直觉思维的培养和发展是情感教育下的产物之一,把知情融为一体,使认知和情感彼此促进,和谐发展,互相促进。敏锐的观察力是直觉思维的起步器;“一叶落而知天下秋”的联想习惯、科学美的鉴赏力是直觉思维的助跑器;强有利的语言表达能力是直觉思维的载体。美国心理学家布鲁纳认为,应该做更多的工作去发展学生的直觉思维。直觉思维能力可以通过多方联想,学会从整体考察问题,注意挖掘问题内部的本质联系,借助对称、和谐等数学美感,养成解题后进行反思的习惯等途径加以培养。
In classroom teaching, the cultivation and development of mathematical intuition thinking is one of the products of emotional education. It integrates knowledge and understanding, promotes mutual recognition and emotion, develops harmoniously, and promotes each other. The keen observation power is the starting point of intuitive thinking; the habit of association and the appreciation of scientific beauty are the runners of intuitive thinking; strong and favorable language expression is the carrier of intuitive thinking. American psychologist Bruner believes that more work should be done to develop students’ intuitive thinking. Intuitive thinking ability can be cultivated through multi-association, learn to examine the problem from the whole, pay attention to the internal connection of the problem, use mathematical aesthetics such as symmetry and harmony, and develop the habit of rethinking after solving questions.