方法论视域下的数学解题与解题策略

Mathematics Problem Solving and Problem Solving Strategies in the Perspective of Methodology

注重方法论的指导是深化数学解题研究的一种有效策略.基于方法论的视角,分析问题与数学解题本质,并将数学解题与数学方法论联结起来,有助于规划数学解题路线.在数学方法论的指导下,可以重构并具体应用以"发问、发现、发省、发展"为主线的"4F"解题策略.

Laying stress on the guidance of methodology is an effective strategy to deepen the study of mathematics problem solving.Based on the perspective of methodology,it is helpful for planning the route of mathematics problem solving to analyze the nature of problems and mathematics problem solving,and to relate mathematics problem solving with mathematics methodology.Under the direction of mathematics methodology,we can reconstruct and apply the“4 F”problem solving strategy,whose main line is“asking,discovering,reflecting and developing”.