中学课程“思维建模”教学意义探析

On the Significance of Modeling in High School Mathematics

思维建模是借助于一些特定的工具和方法,将内在的思维过程建立模型,进行可视化表征的认知方法,是创设建构主义课堂的一种具体手段。数学课程作为其他诸多学科的基础,其概念、公式、定理、法则、结论等的形成及应用均离不开抽象、概括、评价等思维过程,思维的材料和结果来源于数学思维模型的精华。从建构主义理论出发,立足于国家对数学核心素养的要求,"思维建模"在落实国家课程标准、优化思维品质、发展数学核心素养、提高解决问题效率等方面具有重要意义。

Modeling is a cognitive method by modeling the internal thinking process to have some visual representation with the help of some specific tools and methods, which is a specific means to create constructivism classroom. As the basis of many other disciplines, mathematics is inseparable from abstract generalization and logic for the formation of mathematical concepts, mathematical formulas, theorems, rules and conclusions. The formation of reasoning thinking, the material and results of thinking come from the essence of mathematical thinking model. Therefore, based on the theory of constructivism and requirements of the state for mathematical core literacy, this paper analyzes the significance of modeling in the implementation of national curriculum standards, the optimization of thinking quality, the development of mathematical core literacy, and the improvement of the efficiency of solving problems.