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如何帮助学生抽取出实际问题中的数量,并用简单的图形、符号、公式等来表达数量之间的关系,为列出算式从而解答实际问题,建造一座“桥”?而这座“桥”就是数学中的“数学模型”。数学的生命力在于它能有效地解决现实世界向我们提出的各种问题,而数学模型正是联系数学与现实世界的桥梁。如何将现实问题自主建构成数学模型,是对学生创造性地解决问题能力的检验,也是数学教育的重要任务之一。
How to help students to extract the actual number of problems, and the use of simple graphics, symbols, formulas, etc. to express the relationship between quantity, in order to list the formula to answer practical problems, to build a “bridge”? And this Bridge “is the” mathematical model "in mathematics. The vitality of mathematics lies in that it can effectively solve all kinds of problems that the real world presents to us, and the mathematical model is exactly the bridge linking mathematics with the real world. How to build the realistic problem into a mathematical model autonomously is a test of students’ abilities to creatively solve problems and is also one of the important tasks of mathematics education.