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数与形及其相互关系是数学研究的重点内容。在数学教学中教师要有意识地沟通数、形之间的联系,帮助学生逐步树立起数形相结合的观点,并使这一观点扎根到学生的认知结构中去,成为运用自如的思想观念和思维工具。“数形结合”的思想是数学的重要思想之一,它在数学教学中的作用也是非凡的。尤其是在中学函数中的应用上作用更是凸显,不仅能提高学生的解题能力,更能改进学生解决实际问题的能力。本文旨在探究函数中的“数形结合”思想对非逻辑性思维的培养。
Number and shape and their relationship is the key content of mathematical research. In mathematics teaching, teachers should consciously communicate the connection between numbers and shapes, help students to gradually establish the viewpoints of combining numbers and forms, and take this view into the students’ cognitive structure and become the ideological concepts Thinking Tools. The idea of “combination of numbers and numbers” is one of the important ideas of mathematics, and its role in mathematics teaching is extraordinary. Especially in the middle school function application is even more prominent role, not only can improve students ’ability to solve problems, but also improve students’ ability to solve practical problems. The purpose of this paper is to explore the cultivation of non-logical thinking in the “” combination of numbers "function.